Last update:
Thu Nov 30 08:23:26 MST 2023
John Milnor Remarks on iterated cubic maps . . . . . 5--24
Henri Cohen and
Leonard Lewin and
Don Zagier A sixteenth-order polylogarithm ladder 25--34
Barry Mazur The topology of rational points . . . . 35--45
Brian E. Blank and
Da Shan Fan and
David Klein and
Steven G. Krantz and
Daowei Ma and
Myung-Yull Pang The Kobayashi metric of a complex
ellipsoid in \boldmath $ C^2 $ . . . . . 47--55
Steven R. Finch Patterns in $1$-additive sequences . . . 57--63
David A. Drake and
Jean A. Larson The nonexistence of certain projective
planes of order $ 15 $ . . . . . . . . . 65--69
Richard Schwartz The pentagram map . . . . . . . . . . . 71--81
David Epstein and
Silvio Levy and
Rafael de la Llave About this Journal . . . . . . . . . . . ??
Carl Pomerance and
J. W. Smith Reduction of huge, sparse matrices over
finite fields via created catastrophes 89--94
Frank Rimlinger \boldmath $R$-trees and normalization of
pseudogroups . . . . . . . . . . . . . . 95--114
John D. Lafferty and
Daniel Rockmore Fast Fourier analysis for $ {\rm SL}_2 $
over a finite field and related
numerical experiments . . . . . . . . . 115--139
Kenneth A. Brakke The surface evolver . . . . . . . . . . 141--165
Stéfane Fermigier Zéros des fonctions $L$ de courbes
elliptiques. (French) [Zeros of $L$
functions on elliptic curves] . . . . . 167--173
Anonymous Instructions for Authors . . . . . . . . 175--177
David Epstein and
Silvio Levy Message from the Editors . . . . . . . . 181--181
Christine Bachoc and
Christian Batut Étude algorithmique de réseaux construits
avec la forme trace. (French)
[Algorithmic study of lattices
constructed with the trace from] . . . . 183--190
Lucas Hsu and
Rob Kusner and
John Sullivan Minimizing the squared mean curvature
integral for surfaces in space forms . . 191--207
Avner Ash and
Mark McConnell Experimental indications of
three-dimensional Galois representations
from the cohomology of $ {\rm SL}(3,
{\bf Z}) $ . . . . . . . . . . . . . . . 209--223
Farid Tari Recognition of $ \mathcal {K}
$-singularities of functions . . . . . . 225--229
David Ford and
Michael Pohst The totally real $ A_5 $ extension of
degree $6$ with minimum discriminant . . 231--235
Derek F. Holt and
Sarah Rees An implementation of the
Neumann--Praeger algorithm for the
recognition of special linear groups . . 237--242
Anonymous Message from the editors . . . . . . . . ??
Prem Janardhan and
David Rosenblum and
Robert S. Strichartz Numerical experiments in Fourier
asymptotics of Cantor measures and
wavelets . . . . . . . . . . . . . . . . 249--273
Dennis A. Hejhal and
Barry N. Rackner On the topography of Maass waveforms for
$ {\rm PSL}(2, {\bf Z}) $ . . . . . . . 275--305
François Bergeron and
Simon Plouffe Computing the generating function of a
series given its first few terms . . . . 307--312
Alfred Gray and
Mark A. Pinsky Computer graphics and a new Gibbs
phenomenon for Fourier--Bessel series 313--316
Denise Kim and
Rob Kusner Torus knots extremizing the Möbius energy 1--9
Ibrahim A. I. Suleiman and
Robert A. Wilson Construction of the fourfold cover of
the Mathieu group $ M_{22} $ . . . . . . 11--14
Ulrich Pinkall and
Konrad Polthier Computing discrete minimal surfaces and
their conjugates . . . . . . . . . . . . 15--36
John Milnor Geometry and dynamics of quadratic
rational maps, with an appendix by the
author and Lei Tan . . . . . . . . . . . 37--83
François Dress Fonction sommatoire de la fonction de
Möbius. 1. Majorations expérimentales.
(French) [Upper bounds on the Möbius
function. 1. Experimental maximizations] 89--98
François Dress and
Mohamed El Marraki Fonction sommatoire de la fonction de
Möbius. 2. Majorations asymptotiques
élémentaires. (French) [Upper bounds on
the Möbius function. 2. Elementary
asymptotic maximizations] . . . . . . . 99--112
David Ford and
Vijay Jha On Wendt's determinant and Sophie
Germain's theorem . . . . . . . . . . . 113--120
Peter Stevenhagen The number of real quadratic fields
having units of negative norm . . . . . 121--136
Franck Leprévost Courbes modulaires et $ 11 $-rang de
corps quadratiques . . . . . . . . . . . 137--146
Anonymous Instructions for Authors . . . . . . . . 147--147
Jean-François Mestre and
René Schoof and
Lawrence Washington and
Don Zagier Quotients homophones des groupes libres 153--155
Michael Callahan and
David Hoffman and
Hermann Karcher A family of singly periodic minimal
surfaces invariant under a screw motion 157--182
Richard Durrett and
David Griffeath Asymptotic behavior of excitable
cellular automata . . . . . . . . . . . 183--208
Kevin Charter and
Thomas Rogers The dynamics of quadrilateral folding 209--222
Abderrahmane Nitaj Algorithms for finding good examples for
the $ a b c $ and Szpiro conjectures . . 223--230
David Ford and
Michael Pohst The totally real $ A_6 $ extension of
degree $6$ with minimum discriminant . . 231--232
David L. Chopp and
James A. Sethian Flow under curvature: singularity
formation, minimal surfaces, and
geodesics . . . . . . . . . . . . . . . 235--255
Nantel Bergeron and
Sara Billey RC-graphs and Schubert polynomials . . . 257--269
Michael K. Murray The information metric on rational maps 271--279
Ben Bielefeld and
Scott Sutherland and
Folkert Tangerman and
J. J. P. Veerman Dynamics of certain nonconformal
degree-two maps of the plane . . . . . . 281--300
Pierre Goetgheluck Fresnel zones on the screen . . . . . . 301--309
David L. Chopp Computation of self-similar solutions
for mean curvature flow . . . . . . . . 1--15
David H. Bailey and
Jonathan M. Borwein and
Roland Girgensohn Experimental evaluation of Euler sums 17--30
Jane Friedman and
James T. Joichi and
Dennis Stanton More monotonicity theorems for
partitions . . . . . . . . . . . . . . . 31--37
Christian Batut and
Jacques Martinet Radiographie des réseaux parfaits.
(French) [Radiography of perfect
lattices] . . . . . . . . . . . . . . . 39--49
Hans Thunberg Feigenbaum numbers for certain flat-top
families . . . . . . . . . . . . . . . . 51--57
Ryo Kobayashi A numerical approach to
three-dimensional dendritic
solidification . . . . . . . . . . . . . 59--81
Shaun Bullett and
Christopher Penrose A gallery of iterated correspondences 85--105
Bernd Krauskopf The bifurcation set for the $ 1 \colon 4
$ resonance problem . . . . . . . . . . 107--128
Jean Cougnard Un anneau d'entiers stablement libre et
non libre . . . . . . . . . . . . . . . 129--136
Alexander J. E. Ryba and
Robert A. Wilson Matrix generators for the Harada--Norton
group . . . . . . . . . . . . . . . . . 137--145
Peter Gilbert and
Eric Postpischil There are no new homometric Golomb ruler
pairs with $ 12 $ marks or less . . . . 147--152
Greg McShane and
John R. Parker and
Ian Redfern Drawing limit sets of Kleinian groups
using finite state automata . . . . . . 153--170
Michael Rubinstein and
Peter Sarnak Chebyshev's bias . . . . . . . . . . . . 173--197
Johannes Buchmann and
Max Jüntgen and
Michael Pohst A practical version of the generalized
Lagrange algorithm . . . . . . . . . . . 199--207
Roel J. Stroeker and
Benjamin M. M. de Weger On elliptic Diophantine equations that
defy Thue's method: the case of the
Ochoa curve . . . . . . . . . . . . . . 209--220
Richard P. McGehee and
Bruce B. Peckham Resonance surfaces for forced
oscillators . . . . . . . . . . . . . . 221--244
István Gaál and
Attila Peth\Ho and
Michael Pohst On the resolution of index form
equations in dihedral quartic number
fields . . . . . . . . . . . . . . . . . 245--254
Robert H. Lewis and
Sal Liriano Isomorphism classes and derived series
of certain almost-free groups . . . . . 255--258
Craig D. Hodgson and
Jeffrey R. Weeks Symmetries, isometries and length
spectra of closed hyperbolic
three-manifolds . . . . . . . . . . . . 261--274
Richard E. Crandall and
Joe P. Buhler On the evaluation of Euler sums . . . . 275--285
David W. Boyd A $p$-adic study of the partial sums of
the harmonic series . . . . . . . . . . 287--302
Franco Vivaldi Periodicity and transport from round-off
errors . . . . . . . . . . . . . . . . . 303--315
Derek Hacon and
Nicolau C. Saldanha and
J. J. P. Veerman Remarks on self-affine tilings . . . . . 317--327
Michel Waldschmidt Densité des points rationnels sur un
groupe algébrique. (French) [Density of
rational points on an algebraic group] 329--352
Alexander Hulpke Block systems of a Galois group . . . . 1--9
Ibrahim A. I. Suleiman and
Robert A. Wilson Standard generators for $ J_3 $ . . . . 11--18
Edward C. Thayer Higher-genus Chen--Gackstatter surfaces
and the Weierstrass representation for
surfaces of infinite genus . . . . . . . 19--39
Iain A. Stewart and
Ben Thompson On the intersections of longest cycles
in a graph . . . . . . . . . . . . . . . 41--48
Julien Cassaigne and
Steven R. Finch A class of $1$-additive sequences and
quadratic recurrences . . . . . . . . . 49--60
Fujio Kako and
Mitsuyuki Ochiai Computational construction of $W$-graphs
of Hecke algebras $ H(q, n) $ for $n$ up
to $ 15 $ . . . . . . . . . . . . . . . 61--67
Joseph H. Silverman Exceptional units and numbers of small
Mahler measure . . . . . . . . . . . . . 69--83
Enrico Bombieri and
David C. Hunt and
Alfred J. van der Poorten Determinants in the study of Thue's
method and curves with prescribed
singularities . . . . . . . . . . . . . 87--96
Derek F. Holt An alternative proof that the Fibonacci
group $ F(2, 9) $ is infinite . . . . . 97--100
Robert S. Strichartz and
Arthur Taylor and
Tong Zhang Densities of self-similar measures on
the line . . . . . . . . . . . . . . . . 101--128
Jan Stevens Computing versal deformations . . . . . 129--144
Daniel Bertrand Points rationnels sur les sous-groupes
compacts des groupes algébriques . . . . 145--151
John Guckenheimer Phase portraits of planar vector fields:
computer proofs . . . . . . . . . . . . 153--165
William C. Jagy and
Irving Kaplansky Sums of squares, cubes, and higher
powers . . . . . . . . . . . . . . . . . 169--173
Christian Batut and
Heinz-Georg Quebbemann and
Rudolf Scharlau Computations of cyclotomic lattices . . 177--179
Kenneth Brakke and
Robert Phelan and
Denis Weaire Computation of equilibrium foam
structures using the surface evolver . . 181--192
David Applegate and
Jeffrey C. Lagarias The distribution of $ 3 x + 1 $ trees 193--209
Michael J. Jacobson, Jr. and
Richard F. Lukes and
Hugh C. Williams An investigation of bounds for the
regulator of quadratic fields . . . . . 211--225
Fausto Di Biase and
Rüdiger Urbanke An algorithm to calculate the kernel of
certain polynomial ring homomorphisms 227--234
Stephen A. Linton and
Klaus Lux and
Leonard H. Soicher The primitive distance-transitive
representations of the Fischer groups 235--253
Michel Waldschmidt Errata to: ``Densité des point rationnels
sur un groupe algébrique'' . . . . . . . 255--255
Maurice Mignotte and
Yves Roy Catalan's equation has no new solution
with either exponent less than $ 10651 $ 259--268
Kenneth A. Brakke Numerical solution of soap film dual
problems . . . . . . . . . . . . . . . . 269--287
Robert Bruner and
John Greenlees The Bredon--Löffler conjecture . . . . . 289--297
Roland Martin A counterexample in the theory of local
zeta functions . . . . . . . . . . . . . 299--305
Tomasz Dubejko and
Kenneth Stephenson Circle packing: experiments in discrete
analytic function theory . . . . . . . . 307--348
Louis Granboulan Construction d'une extension réguli\`ere
de $ {\bf Q}(T) $ de groupe de Galois $
M_{24} $. (French) [Construction of a
regular extension of $ {\bf Q}(T) $ for
the Galois group $ M_{24} $] . . . . . . 3--14
Audrey Terras Survey of spectra of Laplacians on
finite symmetric spaces . . . . . . . . 15--32
Carlos Gutierrez and
Francesco Mercuri and
Federico Sánchez-Bringas On a conjecture of Carathéodory:
analyticity versus smoothness . . . . . 33--37
Wilhelm Plesken and
Bernd Souvignier Constructing rational representations of
finite groups . . . . . . . . . . . . . 39--47
Derek F. Holt and
Sarah Rees Free quotients of finitely presented
groups . . . . . . . . . . . . . . . . . 49--56
Fritz Grunewald and
Wolfgang Huntebrinker A numerical study of eigenvalues of the
hyperbolic Laplacian for polyhedra with
one cusp . . . . . . . . . . . . . . . . 57--80
Peter Paule A proof of a conjecture of Knuth . . . . 83--89
Graeme L. Cohen and
Herman J. J. te Riele Iterating the sum-of-divisors function 91--100
Francis Buekenhout and
Michel Dehon and
Dimitri Leemans All geometries of the Mathieu group $
M_{11} $ based on maximal subgroups . . 101--110
Matthew J. Appel and
Paul S. Bourdon and
John J. Thrall Norms of composition operators on the
Hardy space . . . . . . . . . . . . . . 111--117
Stéfane Fermigier Étude expérimentale du rang de familles de
courbes elliptiques sur $ {\bf Q} $.
(French) [Experimental study of the rank
of families of elliptic curves on $ {\bf
Q} $] . . . . . . . . . . . . . . . . . 119--130
Neil J. Calkin and
Steven R. Finch Conditions on periodicity for sum-free
sets . . . . . . . . . . . . . . . . . . 131--137
John H. Conway and
Ronald H. Hardin and
Neil J. A. Sloane Packing lines, planes, etc.: packings in
Grassmannian spaces . . . . . . . . . . 139--159
Gabriele Nebe Finite subgroups of $ {\rm GL}_{24}({\bf
Q}) $ . . . . . . . . . . . . . . . . . 163--195
Stathis Tompaidis Approximation of invariant surfaces by
periodic orbits in high-dimensional
maps: some rigorous results . . . . . . 197--209
Stathis Tompaidis Numerical study of invariant sets of a
quasiperiodic perturbation of a
symplectic map . . . . . . . . . . . . . 211--230
Marije Elkenbracht-Huizing An implementation of the number field
sieve . . . . . . . . . . . . . . . . . 231--253
Henk Boender and
Herman J. J. te Riele Factoring integers with large-prime
variations of the quadratic sieve . . . 257--273
Philippe Cassou-Nogu\`as and
Arnaud Jehanne Formes primitives et représentations
galoisiennes de type octaédral. (French)
[Primitive forms and Galois
representations of octahedal type] . . . 275--290
Marc Deléglise and
Joöl Rivat Computing the summation of the Möbius
function . . . . . . . . . . . . . . . . 291--295
David B. A. Epstein and
Anthony R. Iano-Fletcher and
Uri Zwick Growth functions and automatic groups 297--315
David Ford and
Kenneth W. Johnson Determinants of Latin squares of order
$8$ . . . . . . . . . . . . . . . . . . 317--325
Clifford A. Reiter Attractors with the symmetry of the
$n$-cube . . . . . . . . . . . . . . . . 327--336
David Epstein and
Elliott H. Lieb and
Jean Taylor and
Robert Almgren and
Robert Kusner and
Frank Morgan and
John Sullivan and
Albert Marden In memoriam: Frederick J. Almgren Jr.,
1933--1997 . . . . . . . . . . . . . . . 1--12
Karsten Große-Brauckmann and
Konrad Polthier Compact constant mean curvature surfaces
with low genus . . . . . . . . . . . . . 13--32
Karsten Große-Brauckmann Gyroids of constant mean curvature . . . 33--50
Oliver T. Dasbach and
Stefan Hougardy Does the Jones polynomial detect
unknottedness? . . . . . . . . . . . . . 51--56
Pilar Bayer and
Josep González On the Hasse--Witt invariants of modular
curves . . . . . . . . . . . . . . . . . 57--76
Mark C. Wilson and
Geoffrey Pritchard and
David H. Wood Bell's primeness criterion for $ W(2 n +
1) $ . . . . . . . . . . . . . . . . . . 77--85
Frédéric Cazals Combinatorial properties of
one-dimensional arrangements . . . . . . 87--94
John E. Cremona Computing periods of cusp forms and
modular elliptic curves . . . . . . . . 97--107
Mitja Lakner and
Peter Petek The one-equator property . . . . . . . . 109--115
Bernd Krauskopf and
Hartje Kriete Hausdorff convergence and the limit
shape of the unicorns . . . . . . . . . 117--135
Iain R. Aitchison and
J. Hyam Rubinstein Geodesic surfaces in knot complements 137--150
Christine Bachoc and
Gabriele Nebe Classification of two genera of $ 32
$-dimensional lattices of rank $8$ over
the Hurwitz order . . . . . . . . . . . 151--162
Bert van Geemen and
Wilberd van der Kallen and
Jaap Top and
Alain Verberkmoes Hecke eigenforms in the cohomology of
congruence subgroups of $ {\rm SL}(3,
{\bf Z}) $ . . . . . . . . . . . . . . . 163--174
Anonymous Editors' note on ``Packing lines,
planes, etc.: packings in Grassmannian
spaces'' . . . . . . . . . . . . . . . . 175
Graeme L. Cohen and
Herman J. J. te Riele Errata to: ``Iterating the
sum-of-divisors function'' . . . . . . . 177--177
Jonathan Borwein and
David Bradley Empirically determined Apéry-like
formulae for $ \zeta (4 n + 3) $ . . . . 181--194
Fernando Q. Gouvêa Non-ordinary primes: a story . . . . . . 195--205
Janko Gravner and
David Griffeath Nucleation parameters for discrete
threshold growth on $ {\bf Z}^2 $ . . . 207--220
Jérémie Rostand Computing logarithmic capacity with
linear programming . . . . . . . . . . . 221--238
Robert H. Lewis and
Guy D. Moore Computer search for nilpotent complexes 239--246
Götz Pfeiffer The subgroups of $ M_{24} $, or how to
compute the table of marks of a finite
group . . . . . . . . . . . . . . . . . 247--270
Hermann-Josef Weber Hyperelliptic simple factors of $ J_0
(N) $ with dimension at least $3$ . . . 273--287
Ellen Gethner and
H. M. Stark Periodic Gaussian moats . . . . . . . . 289--292
Gene Cooperman and
Gerhard Hiss and
Klaus Lux and
Jürgen Müller The Brauer tree of the principal $ 19
$-block of the sporadic simple Thompson
group . . . . . . . . . . . . . . . . . 293--300
Ivo Nowak Numerical finiteness results for minimal
surfaces in three-dimensional space
forms . . . . . . . . . . . . . . . . . 301--315
Michael Karowski and
Robert Schrader and
Elmar Vogt Invariants of three-manifolds, unitary
representations of the mapping class
group, and numerical calculations . . . 317--352
Alain Kraus Sur l'équation $ a^3 + b^3 = c^p $.
(French) [On the equation $ a^3 + b^3 =
c^p $ ] . . . . . . . . . . . . . . . . 1--13
Philippe Flajolet and
Bruno Salvy Euler sums and contour integral
representations . . . . . . . . . . . . 15--35
David W. Boyd Mahler's measure and special values of
$L$-functions . . . . . . . . . . . . . 37--82
George Szekeres Abel's equation and regular growth:
variations on a theme by Abel . . . . . 85--100
Wayne Rossman and
Katsunori Sato Constant mean curvature surfaces with
two ends in hyperbolic space . . . . . . 101--119
David Ford and
Michael Pohst and
Mario Daberkow and
Nasser Haddad The $ S_5 $ extensions of degree $6$
with minimum discriminant . . . . . . . 121--124
George Havas and
Bohdan S. Majewski and
Keith R. Matthews Extended GCD and Hermite normal form
algorithms via lattice basis reduction 125--136
Marc Deléglise Bounds for the density of abundant
integers . . . . . . . . . . . . . . . . 137--143
Edward G. Belaga and
Maurice Mignotte Embedding the $ 3 x + 1 $ conjecture in
a $ 3 x + d $ context . . . . . . . . . 145--151
Sergei V. Matveev Computer recognition of three-manifolds 153--161
Emmanuel Halberstadt Sur la courbe modulaire $ X_{\ndep }(11)
$ . . . . . . . . . . . . . . . . . . . 163--174
John-Peter Lund and
Robert S. Strichartz and
Jade P. Vinson Cauchy transforms of self-similar
measures . . . . . . . . . . . . . . . . 177--190
Roger C. Alperin Platonic triangles of groups . . . . . . 191--219
David J. Buckingham and
Paul B. Callahan Tight bounds on periodic cell
configurations in Life . . . . . . . . . 221--241
Benjamin M. M. de Weger Solving elliptic Diophantine equations
avoiding Thue equations and elliptic
logarithms . . . . . . . . . . . . . . . 243--256
Barry Brent Quadratic minima and modular forms . . . 257--274
Ilan Vardi Prime percolation . . . . . . . . . . . 275--289
Stéphane Louboutin Computation of relative class numbers of
imaginary abelian number fields . . . . 293--303
Graham Everest and
Thomas Ward A dynamical interpretation of the global
canonical height on an elliptic curve 305--316
Oscar E. Lanford III Informal remarks on the orbit structure
of discrete approximations to chaotic
maps . . . . . . . . . . . . . . . . . . 317--324
Daryl Cooper and
Darren D. Long Trimming . . . . . . . . . . . . . . . . 325--332
Christopher F. Woodcock and
Nigel P. Smart $p$-adic chaos and random number
generation . . . . . . . . . . . . . . . 333--342
Gert Almkvist Asymptotic formulas and generalized
Dedekind sums . . . . . . . . . . . . . 343--359
Gerald Allison and
Avner Ash and
Eric Conrad Galois representations, Hecke operators,
and the mod-$p$ cohomology of $ {\rm
GL}(3, {\bf Z}) $ with twisted
coefficients . . . . . . . . . . . . . . 361--390
Michael Abramson and
Curtis D. Bennett Enumerating $ A_3 (2) $ blueprints, and
an application . . . . . . . . . . . . . 391--398
Peter Kuchment and
Leonid A. Kunyansky Spectral properties of high contrast
band-gap materials and operators on
graphs . . . . . . . . . . . . . . . . . 1--28
Amadeu Delshams and
Rafael Ramírez-Ros Singular separatrix splitting and the
Melnikov method: an experimental study 29--48
Alain Joets and
Roland Ribotta Caustique de la surface ellipso\"\idale
\`a trois dimensions . . . . . . . . . . 49--55
Fernando Rodriguez Villegas and
José Felipe Voloch On certain plane curves with many
integral points . . . . . . . . . . . . 57--62
Edlyn Teske and
Hugh C. Williams A problem concerning a character sum . . 63--72
Richard Rannard Computing immersed normal surfaces in
the figure-eight knot complement . . . . 73--84
Robert L. Benedetto and
William M. Goldman The topology of the relative character
varieties of a quadruply-punctured
sphere . . . . . . . . . . . . . . . . . 85--103
Andrew Odlyzko and
Michael Rubinstein and
Marek Wolf Jumping champions . . . . . . . . . . . 107--118
Andreas Stein and
Hugh C. Williams Some methods for evaluating the
regulator of a real quadratic function
field . . . . . . . . . . . . . . . . . 119--133
Roel J. Stroeker and
Nikos Tzanakis On the elliptic logarithm method for
elliptic diophantine equations:
reflections and an improvement . . . . . 135--149
Eberhard Freitag and
Bruce Hunt The dual of the invariant quintic . . . 151--155
Ángel Jorba A methodology for the numerical
computation of normal forms, centre
manifolds and first integrals of
Hamiltonian systems . . . . . . . . . . 155--195
Gert Almkvist and
Andrew Granville Borwein and Bradley's Apéry-like formulae
for $ \zeta (4 n + 3) $ . . . . . . . . 197--203
George Havas and
Bohdan S. Majewski and
Keith R. Matthews Addenda and errata: ``Extended GCD and
Hermite normal form algorithms via
lattice basis reduction . . . . . . . . 205--205
Scott Crass Solving the sextic by iteration: a study
in complex geometry and dynamics . . . . 209--240
Simon Letherman and
Dierk Schleicher and
Reg Wood The $ 3 n + 1 $-problem and holomorphic
dynamics . . . . . . . . . . . . . . . . 241--251
John Erik Fornæss and
Estela A. Gavosto Tangencies for real and complex Hénon
maps: an analytic method . . . . . . . . 253--260
Alexander I. Bobenko and
Wolfgang K. Schief Affine spheres: discretization via
duality relations . . . . . . . . . . . 261--280
Meinolf Geck and
Gunter Malle On special pieces in the unipotent
variety . . . . . . . . . . . . . . . . 281--290
Clara S. Chan and
David P. Robbins On the volume of the polytope of doubly
stochastic matrices . . . . . . . . . . 291--300
J. W. Neuberger and
R. J. Renka Numerical calculation of the essential
spectrum of a Laplacian . . . . . . . . 301--308
Steven D. Galbraith Rational points on $ X_0^+(p) $ . . . . 311--318
François Dress and
Michel Olivier Polynômes prenant des valeurs
premi\`eres. (French) [Polynomials
taking principal values] . . . . . . . . 319--338
Ralf Flassenberg and
Sachar Paulus Sieving in function fields . . . . . . . 339--349
Nicolas Rennert and
Annick Valibouze Calcul de résolvantes avec les modules de
Cauchy. (French) [Computing resolvents
with Cauchy modules] . . . . . . . . . . 351--366
Richard E. Crandall New representations for the Madelung
constant . . . . . . . . . . . . . . . . 367--379
John P. Boyd The Blasius function in the complex
plane . . . . . . . . . . . . . . . . . 381--394
Ruth Schwingel The tensor product of polynomials . . . 395--397
Peter Borwein and
Kwok-Kwong Stephen Choi On cyclotomic polynomials with $ \pm 1 $
coefficients . . . . . . . . . . . . . . 399--407
Andrew Bremner On arithmetic progressions on elliptic
curves . . . . . . . . . . . . . . . . . 409--413
Anonymous To the reader, Experiment. Math., vol.
9, iss. 1 (2000) . . . . . . . . . . . . 1--1
Henri Cohen and
Fernando Rodriguez Villegas and
Don Zagier Convergence acceleration of alternating
series . . . . . . . . . . . . . . . . . 3--12
John E. Cremona and
Barry Mazur Visualizing elements in the
Shafarevich--Tate group . . . . . . . . 13--28
Mitsuhiro Shishikura and
Tan Lei A family of cubic rational maps and
matings of cubic polynomials . . . . . . 29--53
Klaus Pinn A chaotic cousin of Conway's recursive
sequence . . . . . . . . . . . . . . . . 55--66
Yoshio Hiraoka Numerical calculation of twisted adjoint
$L$-values attached to modular forms . . 67--73
Hansjörg Geiges and
Diego Rattaggi Periodic automorphisms of surfaces:
invariant circles and maximal orders . . 75--84
Harvey E. Rose On some elliptic curves with large sha 85--89
Clara S. Chan and
David P. Robbins and
David S. Yuen On the volume of a certain polytope . . 91--99
John G. Ratcliffe and
Steven T. Tschantz The volume spectrum of hyperbolic
$4$-manifolds . . . . . . . . . . . . . 101--125
David Coulson and
Oliver A. Goodman and
Craig D. Hodgson and
Walter D. Neumann Computing arithmetic invariants of
$3$-manifolds . . . . . . . . . . . . . 127--152
Jonathan Borwein and
Kwok-Kwong Stephen Choi On the representations of $ x y + y z +
z x $ . . . . . . . . . . . . . . . . . 153--158
Frank Sottile Real Schubert calculus: polynomial
systems and a conjecture of Shapiro and
Shapiro . . . . . . . . . . . . . . . . 161--182
Jan Verschelde Numerical evidence for a conjecture in
real algebraic geometry . . . . . . . . 183--196
Wayne Rossman and
Edward C. Thayer and
Meinhard Wohlgemuth Embedded, doubly periodic minimal
surfaces . . . . . . . . . . . . . . . . 197--219
Saburo Matsumoto and
Richard Rannard The regular projective solution space of
the figure-eight knot complement . . . . 221--234
Peter Brinkmann An implementation of the
Bestvina--Handel algorithm for surface
homeomorphisms . . . . . . . . . . . . . 235--240
Kari J. Nurmela Conjecturally optimal coverings of an
equilateral triangle with up to 36 equal
circles . . . . . . . . . . . . . . . . 241--250
Xavier-François Roblot Stark's conjectures and Hilbert's
twelfth problem . . . . . . . . . . . . 251--260
Feraydoun Taherkhani The Kazhdan property of the mapping
class group of closed surfaces and the
first cohomology group of its cofinite
subgroups . . . . . . . . . . . . . . . 261--274
Anders Björner and
Frank H. Lutz Simplicial manifolds, bistellar flips
and a 16-vertex triangulation of the
Poincaré homology $3$-sphere . . . . . . 275--289
Florian Martin and
Alain Valette Markov operators on the solvable
Baumslag--Solitar groups . . . . . . . . 291--300
Keith M. Briggs and
Gonzalo Álvarez Scaling in a map of the two-torus . . . 301--307
Oliver Jenkinson Frequency locking on the boundary of the
barycentre set . . . . . . . . . . . . . 309--317
Birkett Huber and
Rekha R. Thomas Computing Gröbner fans of toric ideals 321--331
Volker Gebhardt Two short presentations for Lyons'
sporadic simple group . . . . . . . . . 333--338
Christophe Doche and
Michel Mend\`es France Integral geometry and real zeros of
Thue--Morse polynomials . . . . . . . . 339--350
Paul E. Gunnells Computing Hecke eigenvalues below the
cohomological dimension . . . . . . . . 351--367
Karl Dilcher Nested squares and evaluations of
integer products . . . . . . . . . . . . 369--372
Gábor Ivanyos and
Klaus Lux Treating the exceptional cases of the
MeatAxe . . . . . . . . . . . . . . . . 373--381
Kazushi Ahara and
Mitsuhiko Takasawa Conjugacy classes of the hyperelliptic
mapping class group of genus $2$ and $3$ 383--396
Alvy Ray Smith Infinite regular hexagon sequences on a
triangle . . . . . . . . . . . . . . . . 397--406
Wilhelm Plesken and
Tilman Schulz Counting crystallographic groups in low
dimensions . . . . . . . . . . . . . . . 407--411
J. J. P. Veerman and
B. D. Sto\vsi\'c On the dimensions of certain
incommensurably constructed sets . . . . 413--423
Peter Borwein and
Michael J. Mossinghoff Polynomials with height $1$ and
prescribed vanishing at $1$ . . . . . . 425--433
F. Miller Maley and
Jean Mastrangeli and
Lisa Traynor Symplectic packings in cotangent bundles
of tori . . . . . . . . . . . . . . . . 435--455
Dragomir \vZ. \Dbarokovi\'c The irreducible six-dimensional complex
representations of $ {\rm Aut}(F_2) $
that are nontrivial on $ F_2 $ . . . . . 457--465
Veselin Jungic On monochromatic arithmetic progressions
having odd step . . . . . . . . . . . . 467--471
Alexander Stoimenow Rational knots and a theorem of Kanenobu 473--478
John Milnor On rational maps with two critical
points . . . . . . . . . . . . . . . . . 481--522
J. W. Neuberger and
R. J. Renka Critical points of the Ginzburg--Landau
functional on multiply-connected domains 523--533
Andrey Feuerverger and
Greg Martin Biases in the Shanks--Rényi prime number
race . . . . . . . . . . . . . . . . . . 535--570
Andrew R. Booker A test for identifying Fourier
coefficients of automorphic forms and
application to Kloosterman sums . . . . 571--581
Karl Rubin and
Alice Silverberg Ranks of elliptic curves in families of
quadratic twists . . . . . . . . . . . . 583--590
Nicholas F. Rogers Rank computations for the congruent
number elliptic curves . . . . . . . . . 591--594
Martin Kilian and
Ian McIntosh and
Nicholas Schmitt New constant mean curvature surfaces . . 595--611
Bruce Hunt Nice modular varieties . . . . . . . . . 613--622
Gabriele Nebe Invariants of orthogonal G-modules from
the character table . . . . . . . . . . 623--629
Michael J. Jacobson and
Hugh C. Williams The size of the fundamental solutions of
consecutive Pell equations . . . . . . . 631--640
Scott Crass Solving the quintic by iteration in
three dimensions . . . . . . . . . . . . 1--24
Jonathan Michael Borwein and
David J. Broadhurst and
Joel Kamnitzer Central binomial sums, multiple Clausen
values, and zeta values . . . . . . . . 25--34
Nicolas Brisebarre Irrationality measures of $ \log 2 $ and
$ \pi / \sqrt {3} $ . . . . . . . . . . 35--52
William Aiello and
Fan Chung and
Linyuan Lu A random graph model for power law
graphs . . . . . . . . . . . . . . . . . 53--66
Frédéric Chyzak and
Peter Paule and
Otmar Scherzer and
Armin Schoisswohl and
Burkhard Zimmermann The construction of orthonormal wavelets
using symbolic methods and a matrix
analytical approach for wavelets on the
interval . . . . . . . . . . . . . . . . 67--86
Yang Wang On the Number of Daubechies Scaling
Functions and a Conjecture of Chyzak et
al. . . . . . . . . . . . . . . . . . . 87--89
Sylvain Duquesne Integral Points on Elliptic Curves
Defined by Simplest Cubic Fields . . . . 91--102
Uwe F. Mayer A Singular Example for the Averaged Mean
Curvature Flow . . . . . . . . . . . . . 103--107
Carlos Cid and
Tilman Schulz Computation of Five- and Six-Dimensional
Bieberbach Groups . . . . . . . . . . . 109--115
Tilmann Gneiting and
Kjell Konis and
Donald Richards Experimental Approaches to Kuttner's
Problem . . . . . . . . . . . . . . . . 117--124
Andrej Dujella Newton's Formula and the Continued
Fraction Expansion of $ \sqrt {d} $ . . 125--131
István Gaál Power Integral Bases in Cubic Relative
Expansions . . . . . . . . . . . . . . . 133--139
Alexander I. Bobenko and
Tim Hoffmann Conformally Symmetric Circle Packings: a
Generalization of Doyle's Spirals . . . 141--150
Jennifer M. Johnson and
János Kollár Fano Hypersurfaces in Weighted
Projective $4$-Spaces . . . . . . . . . 151--158
John Renze and
Stan Wagon and
Brian Wick The Gaussian Zoo . . . . . . . . . . . . 161--174
David H. Bailey and
Richard E. Crandall On the Random Character of Fundamental
Constant Expansions . . . . . . . . . . 175--190
Christophe Delaunay Heuristics on Tate--Shafarevitch Groups
of Elliptic Curves Defined over $
\mathbb {Q} $ . . . . . . . . . . . . . 191--196
Frank Lübeck and
Max Neunhöffer Enumerating Large Orbits and Direct
Condensation . . . . . . . . . . . . . . 197--206
Bruno Martelli and
Carlo Petronio Three-Manifolds Having Complexity At
Most $9$ . . . . . . . . . . . . . . . . 207--236
Sami Omar On Artin $L$-Functions for Octic
Quaternion Fields . . . . . . . . . . . 237--246
Charles A. Matthews Approximation of a Map Between
One-Dimensional Teichmüller Spaces . . . 247--266
Samuel S. Wagstaff Prime Numbers with a Fixed Number of One
Bits or Zero Bits in Their Binary
Representation . . . . . . . . . . . . . 267--274
Markus Maurer and
Volker Müller Finding the Eigenvalue in Elkies'
Algorithm . . . . . . . . . . . . . . . 275--286
Thomas Kwok-keung Au and
Xiao-Song Lin Off-Center Reflections: Caustics and
Chaos . . . . . . . . . . . . . . . . . 287--302
Martin Edjvet and
Paul Hammond and
Nathan Thomas Cyclic Presentations of the Trivial
Group . . . . . . . . . . . . . . . . . 303--306
Alfred J. van der Poorten A Powerful Determinant . . . . . . . . . 307--320
Takeshi Sasaki and
Masaaki Yoshida A Geometric Study of the Hypergeometric
Function with Imaginary Exponents . . . 321--330
John Abbott and
Thom Mulders How Tight is Hadamard's Bound? . . . . . 331--336
Jade Vinson Partial Sums of $ \zeta (1 / 2) $ Modulo
1 . . . . . . . . . . . . . . . . . . . 337--344
Allen Knutson Descent-Cycling in Schubert Calculus . . 345--354
Jeffrey C. Lagarias On the Normality of Arithmetical
Constants . . . . . . . . . . . . . . . 355--368
Alexander Hulpke Representing Subgroups of Finitely
Presented Groups by Quotient Subgroups 369--382
Neil Dummigan Symmetric Square $L$-Functions and
Shafarevich--Tate Groups . . . . . . . . 383--400
Arturo Olvera Estimation of the Amplitude of Resonance
in the General Standard Map . . . . . . 401--418
Sally M. Miller Geodesic Knots in the Figure-Eight Knot
Complement . . . . . . . . . . . . . . . 419--436
Jun Kigami and
Robert S. Strichartz and
Katharine C. Walker Constructing a Laplacian on the Diamond
Fractal . . . . . . . . . . . . . . . . 437--448
Bjorn Poonen Computing Torsion Points on Curves . . . 449--466
Noam D. Elkies Mordell--Weil Lattices in Charactistic
$2$, III: a Mordell--Weil Lattice of
Rank $ 128$ . . . . . . . . . . . . . . 467--474
Leopoldo Kulesz and
Colin Stahlke Elliptic Curves of High Rank with
Nontrivial Torsion Group over $ {\rm Q}
$ . . . . . . . . . . . . . . . . . . . 475--480
Anonymous Miscellaneous Back Pages, Experiment.
Math., volume 10, number 3 (2001) . . . ??
Anonymous Miscellaneous Front Pages, Experiment.
Math., volume 10, number 3 (2001) . . . ??
Xavier Buff and
Christian Henriksen and
John H. Hubbard Farey Curves . . . . . . . . . . . . . . 481--486
Christopher G. Pinner and
Dan Wolczuk On the Inhomogeneous Hall's Ray of
Period-One Quadratics . . . . . . . . . 487--496
Claude Hayat-Legrand and
Sergei Matveev and
Heiner Zeischang Computer Calculation of the Degree of
Maps into the Poincaré Homology Sphere 497--508
Bo Bernhardsson and
Jaak Peetre Singular Values of Trilinear Forms . . . 509--518
Richard Evan Schwartz The Pentagram Map is Recurrent . . . . . 519--528
S. C. Coutinho and
Bruno F. M. Ribeiro On Holomorphic Foliations Without
Algebraic Solutions . . . . . . . . . . 529--536
Gregor Kemper and
Elmar Körding and
Gunter Malle and
B. Heinrich Matzat and
Denis Vogel and
Gabor Wiese A Database of Invariant Rings . . . . . 537--542
Ricardo Baeza and
Renaud Coulangeon and
Maria Ines Icaza and
Manuel O'Ryan Hermite's Constant for Quadratic Number
Fields . . . . . . . . . . . . . . . . . 543--552
Neal Koblitz Almost Primality of Group Orders of
Elliptic Curves Defined over Small
Finite Fields . . . . . . . . . . . . . 553--558
Karl Rubin and
Alice Silverberg Rank Frequencies for Quadratic Twists of
Elliptic Curves . . . . . . . . . . . . 559--570
Peter Brinkmann and
Saul Schleimer Computing Triangulations of Mapping Tori
of Surface Homeomorphisms . . . . . . . 571--582
Eric Breimer and
Mark Goldberg and
Brian Kolstad and
Malik Magdon-Ismail On the Height of a Random Set of Points
in a $d$-Dimensional Unit Cube . . . . . 583--598
Jürgen Opgenorth Dual Cones and the Voronoi Algorithm . . 599--608
Gisli Másson and
Boris Shapiro On Polynomial Eigenfunctions of a
Hypergeometric-Type Operator . . . . . . 609--618
Nina N. Huang and
Robert S. Strichartz Sampling Theory for Functions with
Fractal Spectrum . . . . . . . . . . . . 619--640
Anonymous Miscellaneous Back Pages, Experiment.
Math., volume 10, number 4 (2001) . . . ??
Anonymous Miscellaneous Front Pages, Experiment.
Math., volume 10, number 4 (2001) . . . ??
Robert Sinclair and
Minoru Tanaka Loki: Software for Computing Cut Loci 1--25
Robert Sinclair and
Minoru Tanaka The Set Poles of a Two-Sheeted
Hyperboloid . . . . . . . . . . . . . . 27--36
Henri Darmon and
Peter Green Elliptic Curves and Class Fields of Real
Quadratic Fields: Algorithms and
Evidence . . . . . . . . . . . . . . . . 37--55
Ulf Jürgens and
Gerhard Röhrle MOP --- Algorithmic Modality Analysis
for Parabolic Group Actions . . . . . . 57--67
Jaydeep V. Chipalkatti Decomposable Ternary Cubics . . . . . . 69--80
Carles Bivi\`a-Ausina A Method to Estimate the Degree of $
\mathbf {C}^{\mathbf {0}} $-Sufficiency
of Analytic Functions . . . . . . . . . 81--85
István Gaál and
Péter Olajos and
Michael Pohst Power Integral Bases in Orders of
Composite Fields . . . . . . . . . . . . 87--90
William Floyd and
Brian Weber and
Jeffrey Weeks The Achilles' Heel of $ {\rm O}(3, 1) $? 91--97
Tanya Chmutova and
Viktor Ostrik Calculating Canonical Distinguished
Involutions in the Affine Weyl Groups 99--117
D. M. Hardcastle and
K. Khanin The $d$-Dimensional Gauss
Transformation: Strong Convergence and
Lyapunov Exponents . . . . . . . . . . . 119--129
D. M. Hardcastle The Three-Dimensional Gauss Algorithm is
Strongly Convergent Almost Everywhere 131--141
Murray Elder and
Jon McCammond Curvature Testing in $3$-Dimensional
Metric Polyhedral Complexes . . . . . . 143--160
Willem A. de Graaf Constructing canonical bases of
quantized enveloping algebras . . . . . 161--170
Jürgen Klüners Algorithms for function fields . . . . . 171--181
Karel Dekimpe and
Bettina Eick Computational aspects of group
extensions and their applications in
topology . . . . . . . . . . . . . . . . 183--200
Manuel Benito and
Wolfgang Creyaufmüller and
Juan L. Varona and
Paul Zimmermann Aliquot sequence $ 3630 $ ends after
reaching $ 100 $ digits . . . . . . . . 201--206
David Hoffman and
Fusheng Wei Deforming the singly periodic genus-one
helicoid . . . . . . . . . . . . . . . . 207--218
Nikola P. Petrov and
Rafael de la Llave Regularity of conjugacies between
critical circle maps: an experimental
study . . . . . . . . . . . . . . . . . 219--241
Zheng-Xu He On the minimizers of the Möbius cross
energy of links . . . . . . . . . . . . 244--248
Ursula Hamenstädt and
Roman Koch Systoles of a family of triangle
surfaces . . . . . . . . . . . . . . . . 249--270
Toby Hall and
André de Carvalho The forcing relation for horseshoe braid
types . . . . . . . . . . . . . . . . . 271--288
Simon Willerton On the first two Vassiliev invariants 289--296
R. Garunk\vstis On some inequalities concerning $ \pi
(x) $ . . . . . . . . . . . . . . . . . 297--301
Joan-C. Lario and
René Schoof Some computations with Hecke rings and
deformation ring, with an appendix by
Amod Agashe and William Stein . . . . . 303--311
Katsunori Iwasaki and
Atsufumi Kenma and
Keiji Matsumoto Polynomial invariants and harmonic
functions related to exceptional regular
polytopes . . . . . . . . . . . . . . . 313--319
Enric Hart and
Daniel Maisner Abelian Surfaces over Finite Fields as
Jacobians . . . . . . . . . . . . . . . 321--337
C. R. Jordan and
D. A. Jordan and
J. H. Jordan Reversible Complex Hénon Maps . . . . . . 339--347
Bernard Landreau and
Florent Richard Le crit\`ere de Beurling et Nyman pour
l'hypoth\`ese de Riemann: aspects
numériques. (French) [The Beurling and
Nyman criteria for the Riemann
Hypothesis: numerical aspects] . . . . . 349--360
Cristian S. Calude and
Michael J. Dinneen and
Chi-Kou Shu Computing a Glimpse of Randomness . . . 361--370
Fokko du Cloux Computing Kazhdan--Lusztig Polynomials
for Arbitrary Coxeter Groups . . . . . . 371--381
Alain Costé Sur un syst\`eme fibré lié \`a la suite
des nombres premiers. (French) [On a
fiber system related to the prime-number
sequence] . . . . . . . . . . . . . . . 383--405
Kaoru Okada Hecke Eigenvalues for Real Quadratic
Fields . . . . . . . . . . . . . . . . . 407--426
Hitoshi Murakami and
Jun Murakami and
Miyuki Okamoto and
Toshie Takata and
Yoshiyuki Yokota Kashaev's Conjecture and the
Chern--Simons Invariants of Knots and
Links . . . . . . . . . . . . . . . . . 427--435
J. C. Lagarias and
E. M. Rains and
N. J. A. Sloane The EKG Sequence . . . . . . . . . . . . 437--446
G. Almkvist Partitions with Parts in a Finite Set
and with Parts Outside a Finite Set . . 449--456
Neil Dummigan Symmetric Squares of Elliptic Curves:
Rational Points and Selmer Groups . . . 457--464
Christoph Baxa Some Remarks on the Distribution of a
Sequence Connected with $ \zeta (\frac
{1}{2}) $ . . . . . . . . . . . . . . . 465--468
Takashi Fukuda and
Keiichi Komatsu Noncyclotomic $ {\rm Z}_p $-Extensions
of Imaginary Quadratic Fields . . . . . 469--475
Mário M. Graça On the Computation of Nonhyperbolic
Fixed Points . . . . . . . . . . . . . . 477--485
Mark Watkins Computing the Modular Degree of an
Elliptic Curve . . . . . . . . . . . . . 487--502
Luis V. Dieulefait Explicit Determination of the Images of
the Galois Representations Attached to
Abelian Surfaces with $ {\rm End}(A) =
\mathbb {Z} $ . . . . . . . . . . . . . 503--512
Thorsten Theobald Computing Amoebas . . . . . . . . . . . 513--526
David H. Bailey and
Richard E. Crandall Random Generators and Normal Numbers . . 527--546
Chris Lomont Yet More Projective Curves over $
\mathbb {F}_2 $ . . . . . . . . . . . . 547--554
W. Duke and
Á. Tóth The Splitting of Primes in Division
Fields of Elliptic Curves . . . . . . . 555--565
J. E. Humphreys Analogues of Weyl's Formula for Reduced
Enveloping Algebras . . . . . . . . . . 567--573
María Isabel González Vasco and
Martin Rötteler and
Rainer Steinwandt On Minimal Length Factorizations of
Finite Groups . . . . . . . . . . . . . 1--12
Ka-Sing Lau and
Sze-Man Ngai Dimensions of the Boundaries of
Self-Similar Sets . . . . . . . . . . . 13--26
Emmanuel Halberstadt and
Alain Kraus Sur la courbe modulaire $ {X}_E(7) $ . . 27--40
Michel L. Lapidus and
Machiel van Frankenhuysen Complex Dimensions of Self-Similar
Fractal Strings and Diophantine
Approximation . . . . . . . . . . . . . 41--69
Reinhard Waldmüller A Flat Manifold with No Symmetries . . . 71--77
Miguel Carrión Álvarez and
Joseph Corneli and
Genevieve Walsh and
Shabnam Beheshti Double Bubbles in the Three-Torus . . . 79--89
Klaus M. Lux and
Magdolna Sz\Hoke Computing Homomorphism Spaces between
Modules over Finite Dimensional Algebras 91--98
Hugh Williams and
Herman te Riele New Computations Concerning the
Cohen--Lenstra Heuristics . . . . . . . 99--113
Harald Baier and
Günter Köhler How to Compute the Coefficients of the
Elliptic Modular Function $ j(z) $ . . . 115--126
Petra E. Holmes and
Stephen A. Linton and
Scott H. Murray Product Replacement in the Monster . . . 123--126
Marlies Gerber and
Boris Hasselblatt and
Daniel Keesing The Riccati Equation: Pinching of
Forcing and Solutions . . . . . . . . . 129--134
S. J. Patterson The Asymptotic Distribution of
Exponential Sums, I . . . . . . . . . . 135--153
Bernadette Perrin-Riou Arithmétique des courbes elliptiques \`a
réduction supersinguli\`ere en $p$.
(French) [Arithmetic on elliptic curves
with a supersingular reduction in $p$ ] 155--186
Joseph L. Gerver Noncollision Singularities: Do Four
Bodies Suffice? . . . . . . . . . . . . 187--198
Ali Katanforoush and
Mehrdad Shahshahani Distributing Points on the Sphere, I . . 199--209
Y. Lee and
R. Scheidler and
C. Yarrish Computation of the Fundamental Units and
the Regulator of a Cyclic Cubic Function
Field . . . . . . . . . . . . . . . . . 211--225
Mark Asch and
Gilles Lebeau The Spectrum of the Damped Wave Operator
for a Bounded Domain in $ \mathbf {R}^2
$ . . . . . . . . . . . . . . . . . . . 227--241
C. J. Cummins and
S. Pauli Congruence Subgroups of $ {\rm PSL}(2,
{\rm Z}) $ of Genus Less than or Equal
to $ 24 $ . . . . . . . . . . . . . . . 243--255
Nandini Nilakantan Nonexistence of a Weakly Neighbourly
Polyhedral Map of Type $ 6, 6 $ . . . . 257--262
Matthias Beck and
David Einstein and
Shelemyahu Zacks Some Experimental Results on the
Frobenius Problem . . . . . . . . . . . 263--270
Thomas Lewiner and
Hélio Lopes and
Geovan Tavares Toward Optimality in Discrete Morse
Theory . . . . . . . . . . . . . . . . . 271--286
Eric J. Rawdon Can Computers Discover Ideal Knots? . . 287--302
István Gaál and
István Járási and
Florian Luca A Remark on Prim Divisors of Lengths of
Sides of Heron Triangles . . . . . . . . 303--310
C. Delaunay and
S. Duquesne Numerical Investigations Related to the
Derivatives of the $L$-Series of Certain
Elliptic Curves . . . . . . . . . . . . 311--318
Kazuhiro Hikami Volume Conjecture and Asymptotic
Expansion of $q$-Series . . . . . . . . 319--338
David Chopp and
John A. Velling Foliations of Hyperbolic Space by
Constant Mean Curvature Surfaces Sharing
Ideal Boundary . . . . . . . . . . . . . 339--350
Irene Sabadini and
Frank Sommen and
Daniele C. Struppa The Dirac Complex on Abstract Vector
Variables: Megaforms . . . . . . . . . . 351--364
Mikhail Khovanov Patters in Knot Cohomology, I . . . . . 365--374
Frank Wikström Computing the Pluricomplex Green
Function with Two Poles . . . . . . . . 375--384
Anonymous Table of Contents, Exp. Math., vol. 12,
no. 3 (2003) . . . . . . . . . . . . . . ??
Kay Magaard and
Sergey Shpectorov and
Helmut Völklein A GAP Package for Braid Orbit
Computation and Applications . . . . . . 385--394
Pierrick Gaudry and
Nicolas Gürel Counting Points in Medium Characteristic
Using Kedlaya's Algorithm . . . . . . . 395--402
Richard Oberlin and
Brian Street and
Robert S. Strichartz Sampling on the Sierpinski Gasket . . . 403--418
Arnaud Jehanne and
Xavier-François Roblot and
Jonathan Sands Numerical Verification of the
Stark--Chinburg Conjuncture for Some
Icosahedral Representations . . . . . . 419--432
Michel Deza and
Mathieu Dutour The Hypermetric Cone on Seven Vertices 433--440
Gert Almkvist and
Christian Krattenthaler and
Joakim Petersson Some New Formulas for $ \pi $ . . . . . 441--456
G. Rhin and
J.-M. Sac-Épée New Methods Providing High Degree
Polynomials with Small Mahler Measure 457--462
Ernesto Girondo Multiply Quasiplatonic Riemann Surfaces 463--476
R. Sinclair On the Last Geometric Statement of
Jacobi . . . . . . . . . . . . . . . . . 477--486
George Havas and
Edmund F. Robertson Irreducible Cyclic Presentations of the
Trivial Group . . . . . . . . . . . . . 487--490
Timoteo Carletti The $ 1 / 2 $-Complex Bruno Function and
the Yoccoz Function: a Numerical Study
of the Marmi--Moussa--Yoccoz Conjecture 491--506
Jesús Guillera About a New Kind of Ramanujan-Type
Series . . . . . . . . . . . . . . . . . 507--510
Anonymous Table of Contents, Exp. Math., vol. 12,
no. 4 (2003) . . . . . . . . . . . . . . ??
Julian Pfeifle and
Günter M. Ziegler On the Monotone Upper Bound Problem . . 1--12
J. M. Landsberg and
Laurent Manivel and
Bruce W. Westbury Series of Nilpotent Orbits . . . . . . . 13--30
Jean-Claude Hausmann and
Eugenio Rodriguez The Space of Clouds in Euclidean Space 31--48
Peter Brinkmann A Note on Pseudo-Anosov Maps with Small
Growth Rate . . . . . . . . . . . . . . 49--54
John Milnor Pasting Together Julia Sets: a Worked
Out Example of Mating . . . . . . . . . 55--92
Jaydeep Chipalkatti The Waring Loci of Ternary Quartics . . 93--102
Yuan Xu On Polynomials of Least Deviation from
Zero in Several Variables . . . . . . . 103--113
J. C. Lagarias and
N. J. A. Sloane Approximate Squaring . . . . . . . . . . 113--128
Anonymous Editorial Staff, Exp. Math., vol. 13,
no. 1 (2004) . . . . . . . . . . . . . . ??
Anonymous Table of Contents, Exp. Math., vol. 13,
no. 1 (2004) . . . . . . . . . . . . . . ??
Gunter Malle On the Distribution of Galois Groups, II 129--136
Tim Dokchitser Computing Special Values of Motivic
$L$-Functions . . . . . . . . . . . . . 137--150
Colva M. Roney-Dougal Conjugacy of Subgroups of the General
Linear Group . . . . . . . . . . . . . . 151--164
Luis V. Dieulefait Computing the Level of a Modular Rigid
Calabi--Yau Threefold . . . . . . . . . 165--170
Roberto Frigerio and
Bruno Martelli and
Carlo Petronio Small Hyperbolic $3$-Manifolds with
Geodesic Boundary . . . . . . . . . . . 171--184
Chantal David and
Jack Fearnley and
Hershy Kisilevsky On the Vanishing of Twisted
$L$-Functions of Elliptic Curves . . . . 185--198
Anders Linnér Periodic Geodesics Generator . . . . . . 199--206
Persi Diaconis and
J. W. Neuberger Numerical Results for the Metropolis
Algorithm . . . . . . . . . . . . . . . 207--214
Shalom Eliahou and
Delphine Hachez On a Problem of Steinhaus Concerning
Binary Sequences . . . . . . . . . . . . 215--230
Murray Bremner and
Irvin Hentzel Invariant Nonassociative Algebra
Structures on Irreducible
Representations of Simple Lie Algebras 231--256
Anonymous Editorial Staff, Exp. Math., vol. 13,
no. 2 (2004) . . . . . . . . . . . . . . ??
Anonymous Table of Contents, Exp. Math., vol. 13,
no. 2 (2004) . . . . . . . . . . . . . . ??
David Bessis and
Jean Michel Explicit Presentations for Exceptional
Braid Groups . . . . . . . . . . . . . . 257--266
Benjamin A. Burton Introducing Regina, The $3$-Manifold
Topology Software . . . . . . . . . . . 267--272
Meinhard Peters The Diophantine Equation $ x y + y z + x
z = n $ and Indecomposable Binary
Quadratic Forms . . . . . . . . . . . . 273--274
J. Borwein and
R. Crandall and
G. Fee On the Ramanujan AGM Fraction, I: The
Real-Parameter Case . . . . . . . . . . 275--285
J. Borwein and
R. Crandall On the Ramanujan AGM Fraction, II: The
Complex-Parameter Case . . . . . . . . . 287--295
Avner Ash and
David Pollack and
Dayna Soares $ {\rm SL}_3 ({\rm F}_2) $-Extensions of
$ {\rm Q} $ and Arithmetic Cohomology
Modulo 2 . . . . . . . . . . . . . . . . 297--307
Jin-ichi Itoh and
Robert Sinclair Thaw: a Tool for Approximating Cut Loci
on a Triangulation of a Surface . . . . 309--325
Luis Dieulefait Existence of Nonelliptic $ \bmod \ell $
Galois Representations for Every $ \ell >
5 $ . . . . . . . . . . . . . . . . . . 327--329
Carlos D'Andrea and
Kevin G. Hare On the Height of the Sylvester Resultant 331--341
Kok Seng Chua and
Mong Lung Lang Congruence Subgroups Associated to the
Monster . . . . . . . . . . . . . . . . 343--360
C. J. Cummins Congruence Subgroups of Groups
Commensurable with $ {\rm PSL}(2, {\rm
Z}) $ of Genus $0$ and $1$ . . . . . . . 361--382
Anonymous Table of Contents, Exp. Math., vol. 13,
no. 3 (2004) . . . . . . . . . . . . . . ??
Alexander Schwartz and
Günter M. Ziegler Construction Techniques for Cubical
Complexes, Odd Cubical $4$-Polytopes,
and Prescribed Dual Manifolds . . . . . 385--413
Xin-Han Dong and
Ka-Sing Lau An Integral Related To The Cauchy
Transform On The Sierpinski Gasket . . . 415--419
Masanari Kida Primality Tests Using Algebraic Groups 421--427
Dimitri Leemans The Residually Weakly Primitive
Geometries of $ {J}_3 $ . . . . . . . . 429--433
P. E. Holmes On Minimal Factorisations of Sporadic
Groups . . . . . . . . . . . . . . . . . 435--440
F. J. Castro-Jiménez and
J. M. Ucha-Enríquez Testing the Logarithmic Comparison
Theorem for Free Divisors . . . . . . . 441--449
Francesca Aicardi On the Number of Perfect Binary
Quadratic Forms . . . . . . . . . . . . 451--457
Gabriela Schmithüsen An Algorithm for Finding the Veech Group
of an Origami . . . . . . . . . . . . . 459--472
Tadej Kotnik and
Jan van de Lune On the Order of the Mertens Function . . 473--481
Gilles Schaeffer and
Paul Zinn-Justin On the Asymptotic Number of Plane Curves
and Alternating Knots . . . . . . . . . 483--493
Gilbert Baumslag and
Sean Cleary and
George Havas Experimenting with Infinite Groups, I 495--502
T. Rivoal Simultaneous Generation of Koecher and
Almkvist-Granville's Apéry-Like Formulae 503--508
Anonymous Table of Contents, Exp. Math., vol. 13,
no. 4 (2004) . . . . . . . . . . . . . . ??
P. Shiu A Diophantine Property Associated with
Prime Twins . . . . . . . . . . . . . . 1--6
R. M. Haralick and
A. D. Miasnikov and
A. G. Myasnikov Heuristics for the Whitehead
Minimization Problem . . . . . . . . . . 7--14
W. A. de Graaf Classification of Solvable Lie Algebras 15--25
Hidenori Katsurada Special Values of the Standard Zeta
Functions for Elliptic Modular Forms . . 27--45
G. Muraz and
J.-L. Verger-Gaugry On Lower Bounds of the Density of Delone
Sets and Holes in Sequences of Sphere
Packings . . . . . . . . . . . . . . . . 47--57
Charles P. Boyer and
Krzysztof Galicki and
János Kollár and
Evan Thomas Einstein Metrics on Exotic Spheres in
Dimensions $7$, $ 11 $, and $ 15 $ . . . 59--64
Francisco Diaz Y.Diaz and
Jean-François Jaulent and
Sebastian Pauli and
Michael Pohst and
Florence Soriano-Gafiuk A New Algorithm for the Computation of
Logarithmic $ \ell $-Class Groups of
Number Fields . . . . . . . . . . . . . 65--74
Pieter Collins Forcing Relations for Homoclinic Orbits
of the Smale Horseshoe Map . . . . . . . 75--86
S. J. Patterson The Asymptotic Distribution of
Exponential Sums, II . . . . . . . . . . 87--98
\`Angel Jorba and
Maorong Zou A Software Package for the Numerical
Integration of ODEs by Means of
High-Order Taylor Methods . . . . . . . 99--117
Darrin Doud Wildly Ramified Galois Representations
and a Generalization of a Conjecture of
Serre . . . . . . . . . . . . . . . . . 119--127
Anonymous Table of Contents, Exp. Math., vol. 14,
no. 1 (2005) . . . . . . . . . . . . . . ??
Péter Olajos Power integral bases in the family of
simplest quartic fields . . . . . . . . 129--132
Charles Cochet Effective reduction of
Goresky--Kottwitz--MacPherson graphs . . 133--144
Anders Linnér and
Robert Renka Discrete Periodic Geodesics in a Surface 145--152
Csaba Schneider A computer-based approach to the
classification of nilpotent Lie algebras 153--160
Susan Hermiller and
Irena Swanson Computations with Frobenius powers . . . 161--173
W. Plesken and
D. Robertz Constructing Invariants for Finite
Groups . . . . . . . . . . . . . . . . . 175--188
Daniel Schielzeth and
Michael E. Pohst On Real Quadratic Number Fields Suitable
for Cryptography . . . . . . . . . . . . 189--197
Shawn Drenning and
Judith Palagallo and
Thomas Price and
Robert S. Strichartz Outer Boundaries of Self-Similar Tiles 199--209
James McKee and
Chris Smyth Salem numbers, Pisot numbers, Mahler
measure, and graphs . . . . . . . . . . 211--229
J. O. Button Fibred and virtually fibred hyperbolic
$3$-manifolds in the censuses . . . . . 231--255
Anonymous Table of Contents, Exp. Math., vol. 14,
no. 2 (2005) . . . . . . . . . . . . . . ??
Wolfgang Lempken and
Tran van Trung On Minimal Logarithmic Signatures of
Finite Groups . . . . . . . . . . . . . 257--269
William Geller and
Micha\l Misiurewicz Irrational Life . . . . . . . . . . . . 271--275
Jurgen Müller and
Max Neunhöffer Some computations regarding Foulkes'
conjecture . . . . . . . . . . . . . . . 277--283
J. Hyam Rubinstein and
Robert Sinclair Visualizing Ricci flow of manifolds of
revolution . . . . . . . . . . . . . . . 285--298
Sylvie Oliffson Kamphorst and
Sônia Pinto-de-Carvalho The first Birkhoff coefficient and the
stability of $2$-periodic orbits on
billiards . . . . . . . . . . . . . . . 299--306
Hiroki Sumida-Takahashi The Iwasawa invariants and the higher
$K$-groups associated to real quadratic
fields . . . . . . . . . . . . . . . . . 307--316
David H. Bailey and
Karthik Jeyabalan and
Xiaoye S. Li A comparison of three high-precision
quadrature schemes . . . . . . . . . . . 317--329
Wayne Rossman The first bifurcation point for Delaunay
nodoids . . . . . . . . . . . . . . . . 331--342
Kok Seng Chua Extremal modular lattices, McKay
Thompson series, quadratic iterations,
and new series for $ \pi $ . . . . . . . 343--357
S. J. Nickerson and
R. A. Wilson Semi-Presentations for the Sporadic
Simple Groups . . . . . . . . . . . . . 359--371
Harm Pralle The hyperplanes of $ {DW(5, 2)} $ . . . 373--384
Anonymous Table of Contents, Exp. Math., vol. 14,
no. 3 (2005) . . . . . . . . . . . . . . ??
Teruaki Kitano and
Masaaki Suzuki A Partial Order in the Knot Table . . . 385--390
J. Brzezi\'nski and
W. Holszty\'nski and
P. Kurlberg On the Congruence \boldmath $ a x + b y
\equiv 1 $ Modulo \boldmath $ x y $ . . 391--401
David W. Boyd and
Michael J. Mossinghoff Small Limit Points of Mahler's Measure 403--414
H.-C. Graf von Bothmer and
F.-O. Schreyer A Quick and Dirty Irreducibility Test
for Multivariate Polynomials over $
\mathbb {F}_q $ . . . . . . . . . . . . 415--422
Ryan Harkins and
Eric Weber and
Andrew Westmeyer Encryption Schemes using Finite Frames
and Hadamard Arrays . . . . . . . . . . 423--433
Henry King and
Kevin Knudson and
Ne\vza Mramor Generating Discrete Morse Functions from
Point Data . . . . . . . . . . . . . . . 435--444
Jan Snellman A Conjecture on Poincaré-Betti Series of
Modules of Differential Operators on a
Generic Hyperplane Arrangement . . . . . 445--456
Lassina Dembélé Explicit Computations of Hilbert Modular
Forms on $ {\rm Q}(\sqrt {5}) $ . . . . 457--466
Martin Deraux Dirichlet Domains for the Mostow
Lattices . . . . . . . . . . . . . . . . 467--490
Daniel Allcock Orbits in the Leech Lattice . . . . . . 491--509
Anonymous Table of Contents, Exp. Math., vol. 14,
no. 4 (2005) . . . . . . . . . . . . . . ??
István Gaál and
Michael Pohst Diophantine Equations over Global
Functions Fields II: $R$-Integral
Solutions of Thue Equations . . . . . . 1--6
Jesús A. De Loera and
Tyrrell B. McAllister On the Computation of Clebsch--Gordan
Coefficients and the Dilation Effect . . 7--19
Joe Buhler and
Daniel Goldstein and
David Moews and
Joel Rosenberg The Probability That a Random Monic
$p$-adic Polynomial Splits . . . . . . . 21--32
Arthur Baragar Fractals and the Base Eigenvalue of the
Laplacian on Certain Noncompact Surfaces 33--42
T. C. Peachey and
C. M. Enticott Determination of the Best Constant in an
Inequality of Hardy, Littlewood, and
Pólya . . . . . . . . . . . . . . . . . . 43--50
Yohei Komori and
Toshiyuki Sugawa and
Masaaki Wada and
Yasushi Yamashita Drawing Bers Embeddings of the
Teichmüller Space of Once-Punctured Tori 51--60
Masaaki Wada OPTi's Algorithm for Discreteness
Determination . . . . . . . . . . . . . 61--66
J. B. Conrey and
J. P. Keating and
M. O. Rubinstein and
N. C. Snaith Random Matrix Theory and the Fourier
Coefficients of Half-Integral-Weight
Forms . . . . . . . . . . . . . . . . . 67--82
Jesús Guillera A New Method to Obtain Series for $ 1 /
\pi $ and $ 1 / \pi^2 $ . . . . . . . . 83--89
John M. Neuberger Nonlinear Elliptic Partial Difference
Equations on Graphs . . . . . . . . . . 91--107
Roberto De Leo Topology of Plane Sections of Periodic
Polyhedra with an Application to the
Truncated Octahedron . . . . . . . . . . 109--124
Anonymous Table of Contents, Exp. Math., vol. 15,
no. 1 (2006) . . . . . . . . . . . . . . ??
Roberto De Leo Appendix to \em Topology of Plane
Sections of Periodic Polyhedra with an
Application to the Truncated Octahedron ??
Nathan M. Dunfield and
Sergei Gukov and
Jacob Rasmussen The Superpolynomial for Knot Homologies 129--159
Richard Evan Schwartz Obtuse Triangular Billiards I: Near the
$ (2, 3, 6) $ Triangle . . . . . . . . . 161--182
Tom Müller Searching for Large Elite Primes . . . . 183--186
Andrew V. Sills and
Doron Zeilberger Disturbing the Dyson Conjecture (in a
GOOD Way) . . . . . . . . . . . . . . . 187--191
R. Sean Bowman and
Stephen B. McCaul Fast Searching for Andrews--Curtis
Trivializations . . . . . . . . . . . . 193--197
Jim Ruffo and
Yuval Sivan and
Evgenia Soprunova and
Frank Sottile Experimentation and Conjectures in the
Real Schubert Calculus for Flag
Manifolds . . . . . . . . . . . . . . . 199--221
John H. Conway and
Noam D. Elkies and
Jeremy L. Martin The Mathieu Group $ {M}_{12} $ and Its
Pseudogroup Extension $ {M}_{13} $ . . . 223--236
Francesco Constantino Complexity of $4$-Manifolds . . . . . . 237--249
Keith Briggs Abundant Numbers and the Riemann
Hypothesis . . . . . . . . . . . . . . . 251--256
Anonymous Table of Contents, Experiment. Math.,
vol. 15, no. 2 (2006) . . . . . . . . . ??
Steven J. Miller Investigations of Zeros near the Central
Point of Elliptic Curve $L$-Functions,
with an appendix by Eduardo Dueñez . . . 257--279
David H. Bailey and
Jonathan M. Borwein and
David M. Bradley Experimental Determination of Apéry-like
Identities for $ \zeta (2 n + 2) $ . . . 281--289
Daryl Cooper and
Darren Long and
Morwen Thistlethwaite Computing Varieties of Representations
of Hyperbolic $3$-Manifolds into $ {\rm
SL}(4, \mathbb {R}) $ . . . . . . . . . 291--305
S. Torquato and
F. H. Stillinger New Conjectural Lower Bounds on the
Optimal Density of Sphere Packings . . . 307--331
Pedro Antunes and
Pedro Freitas New Bounds for the Principal Dirichlet
Eigenvalue of Planar Regions . . . . . . 333--342
P. H. Lundow and
K. Markström Broken-Cycle-Free Subgraphs and the
Log-Concavity Conjecture for Chromatic
Polynomials . . . . . . . . . . . . . . 343--353
Patricia L. Quattrini On the Distribution of Analytic $ \sqrt
{| \sha |} $ Values on Quadratic Twists
of Elliptic Curves . . . . . . . . . . . 355--365
Markus Banagl Combinatorial Random Walks on
$3$-Manifolds . . . . . . . . . . . . . 367--381
Anonymous Table of Contents, Experiment. Math.,
vol. 15, no. 3 (2006) . . . . . . . . . ??
Andrew R. Booker Artin's Conjecture, Turing's Method, and
the Riemann Hypothesis . . . . . . . . . 385--407
Jesús Guillera A Class of Conjectured Series
Representations for $ 1 / \pi $ . . . . 409--414
Bjorn Poonen Heuristics for the Brauer--Manin
Obstruction for Curves . . . . . . . . . 415--420
Janko Gravner and
David Griffeath Modeling Snow Crystal Growth I: Rigorous
Results for Packard's Digital Snowflakes 421--444
I. R. Hentzel and
L. A. Peresi The Nucleus of the Free Alternative
Algebra . . . . . . . . . . . . . . . . 445--454
Steven Glenn Jackson and
Alfred G. Noël Prehomogeneous Spaces Associated with
Nilpotent Orbits in Simple Real Lie
Algebras $ {\rm E}_{6(6)} $ and $ {\rm
E}_{6( - 26)} $ and Their Relative
Invariants . . . . . . . . . . . . . . . 455--469
Irene García-Selfa and
José M. Tornero On Simultaneous Arithmetic Progressions
on Elliptic Curves . . . . . . . . . . . 471--478
P. M. H. Wilson Some Geometry and Combinatorics for the
$ {S} $-Invariant of Ternary Cubics . . 479--490
D. Hacon and
C. Mendes de Jesus and
M. C. Romero Fuster Fold Maps from the Sphere to the Plane 491--497
Pablo Shmerkin and
Boris Solomyak Zeros of $ \{ - 1, 0, 1 \} $ Power
Series and Connectedness Loci for
Self-Affine Sets . . . . . . . . . . . . 499--511
Anonymous Table of Contents, Experiment. Math.,
vol. 15, no. 4 (2006) . . . . . . . . . ??
Klaus M. Lux and
Magdolna Sz\Hoke Computing Decompositions of Modules over
Finite-Dimensional Algebras . . . . . . 1--6
Gavin Brown A Database of Polarized K3 Surfaces . . 7--20
Peter Borwein and
Greg Fee and
Ron Ferguson and
Alexa van der Waal Zeros of Partial Summs of the Riemann
Zeta Function . . . . . . . . . . . . . 21--40
Alberto Damiano and
Irene Sabadini and
Daniele C. Struppa Computational Methods for the
Construction of a Class of Noetherian
Operators . . . . . . . . . . . . . . . 41--55
D. Eelbode Stirling Numbers and Spin-Euler
Polynomials . . . . . . . . . . . . . . 55--66
Ilya Kapovich Clusters, Currents, and Whitehead's
Algorithm . . . . . . . . . . . . . . . 67--76
X. Bressaud and
G. Poggiaspalla A Tentative Classification of Bijective
Polygonal Piecewise Isometries . . . . . 77--100
Younhwan Cheon and
Thomas W. Cusick Counting Balanced Boolean Functions in
$n$ Variables with Bounded Degree . . . 101--106
Abhijit Champanerkar and
Jacob Lewis and
Max Lipyanskiy and
Scott Meltzer Exceptional Regions and Associated
Exceptional Hyperbolic $3$-Manifolds,
with an appendix by Alan W. Reid . . . . 106--118
Darrin Doud Supersingular Galois Representations and
a Generalization of Conjecture of Serre 119--128
Anonymous Table of Contents, Experiment. Math.,
vol. 16, no. 1 (2007) . . . . . . . . . ??
Benjamin A. Burton Observations from the $8$-Tetrahedron
Nonorientable Census . . . . . . . . . . 129--144
Greg Martin and
Kevin O'Bryant The Symmetric Subset Problem in
Continuous Ramsey Theory . . . . . . . . 145--166
Ji-Young Ham and
Won Taek Song The Minimum Dilatation of Pseudo-Ansonov
$5$-Braids . . . . . . . . . . . . . . . 167--180
Zin Arai On Hyperbolic Plateaus of the Hénon Map 181--188
F. Alberto Grünenbaum and
Manuel D. de la Iglesia Matrix-Valued Orthogonal Polynomials
Related to $ {\rm SU}(N + 1) $, Their
Algebras of Differential Operators, and
the Corresponding Curves . . . . . . . . 189--208
Jens Kruse Andersen and
Harvey Dubner Pseudoprime Statistics to $ 10^{19} $ 209--214
Denis Gaidashev and
Michael Yampolsky Cylinder Renormalization of Siegel Disks 215--226
Nigel Boston and
Jay Wierer Newton Polytopes of Two-Dimensional
Hidden Markov Models . . . . . . . . . . 227--238
Karin Baur and
Jan Draisma and
Willem A. de Graaf Secant Dimensions of Minimal Orbits:
Computations and Conjectures . . . . . . 239--251
Jens Piontkowski On the Number of Cusps of Rational
Cuspidal Plane Curves . . . . . . . . . 251--256
Anonymous Table of Contents, Experiment. Math.,
vol. 16, no. 2 (2007) . . . . . . . . . ??
D. H. Bailey and
D. Borwein and
J. M. Borwein and
R. E. Crandall Hypergeometric Forms for Ising-Class
Integrals . . . . . . . . . . . . . . . 257--276
Mike Develin and
Josephine Yu Tropical Polytopes and Cellular
Resolutions . . . . . . . . . . . . . . 277--292
Mike Boyle and
Bryant Lee Jointly Periodic Points in Cellular
Automata: Computer Explorations and
Conjectures . . . . . . . . . . . . . . 293--302
J. E. Cremona and
M. P. Lingham Finding All Elliptic Curves with Good
Reduction Outside a Given Set of Primes 303--312
Henry Cohn and
John H. Conway and
Noam D. Elkies and
Abhinav Kumar The $ {D}_4 $ Root System Is Not
Universally Optimal . . . . . . . . . . 313--320
Annalisa Calini and
Joel Langer Schwarz Reflection Geometry II: Local
and Global Behavior of the Exponential
Map . . . . . . . . . . . . . . . . . . 321--346
Colin M. Campbell and
George Havas and
Colin Ramsay and
Edmund F. Robertson On the Efficiency of the Simple Groups
of Order Less Than a Million and Their
Covers . . . . . . . . . . . . . . . . . 347--358
Winfried Bruns On the Integral Carathéodory Property . . 359--365
Avner Ash and
Jos Brakenhoff and
Theodore Zarrabi Equality of Polynomial and Field
Discriminants . . . . . . . . . . . . . 367--374
Gordon Ritter A Hardy--Ramanujan Formula for Lie
Algebras . . . . . . . . . . . . . . . . 375--384
Anonymous Table of Contents, Experiment. Math.,
vol. 16, no. 3 (2007) . . . . . . . . . ??
Araceli Bonifant and
Marius Dabija and
John Milnor Elliptic Curves as Attractors in $
{\mathbb P}^2 $, Part 1: Dynamics . . . 385--420
D. Lehavi and
C. Ritzenthaler An Explicit Formula for the
Arithmetic-Geometric Mean in Genus $3$ 421--440
B. Schratzberger On the Singularization of the
Two-Dimensional Jacobi--Perron Algorithm 441--454
R. Coulangeon and
M. I. Icaza and
M. O'Ryan Lenstra's Constant and Extreme Forms in
Number Fields . . . . . . . . . . . . . 455--462
Roland K. W. Roeder Constructing Hyperbolic Polyhedra Using
Newton's Method . . . . . . . . . . . . 463--492
Claus Fieker Sparse Representation for Cyclotomic
Fields . . . . . . . . . . . . . . . . . 493--500
A. E. McCluskey and
D. W. McIntyre and
W. S. Watson The Propositional Theory of Closure . . 501--512
Anonymous Table of Contents, Experiment. Math.,
vol. 16, no. 4 (2007) . . . . . . . . . ??
Mitsuyuki Ochiai and
Noriko Morimura Base-Tangle Decompositions of $n$-String
Tangles with $ 1 < n < 10 $ . . . . . . . 1--8
I. S. Dhillon and
R. W. Heath and
T. Strohmer and
J. A. Tropp Constructing Packings in Grassmannian
Manifolds via Alternating Projection . . 9--35
L. J. P. Kilford and
Gabor Wiese On the Failure of the Gorenstein
Property for Hecke Algebras of Prime
Weight . . . . . . . . . . . . . . . . . 37--52
Michal Kouril and
Jerome L. Paul The van der Waerden Number $ W(2, 6) $
Is $ 1132 $ . . . . . . . . . . . . . . 53--61
Andrzej Dudek and
Vojt\ueech Rödl On the Folkman Number $ {f(2, 3, 4)} $ 63--67
Tewodros Amdeberhan and
Dante Manna and
Victor H. Moll The $2$-adic Valuation of Stirling
Numbers . . . . . . . . . . . . . . . . 69--82
Andrej Dujella and
Vinko Petri\vccevi\'c Strong Diophantine Triples . . . . . . . 83--89
Mizan Khan and
Igor E. Shparlinski and
Christian L. Yankov On the Convex Closure of the Graph of
Modular Inversions . . . . . . . . . . . 91--104
Mark Watkins Some Heuristics about Elliptic Curves 105--125
Anonymous Table of Contents, Experiment. Math.,
vol. 17, no. 1 (2008) . . . . . . . . . ??
Jan-Erik Roos The Homotopy Lie Algebra of a Complex
Hyperplane Arrangement Is Not
Necessarily Finitely Presented . . . . . 129--143
Nobushige Kurokawa and
Takakazu Satoh Euclid Prime Sequences over Unique . . . 145--152
Gennaro Amendola Decomposition and Enumeration of
Triangulated Surfaces . . . . . . . . . 153--166
Ryo Ohashi The Rational Homology Group of
\boldmath$ {\rm Out}(F_n) $ for $ n \leq
6 $ . . . . . . . . . . . . . . . . . . 167--179
Nils Bruin and
Michael Stoll Deciding Existence of Rational Points on
Curves: An Experiment . . . . . . . . . 181--189
Masayuki Noro and
Takeshi Sasaki and
Kotaro Yamada and
Masaaki Yoshida Confluence of Swallowtail Singularities
of the Hyperbolic Schwarz Map Defined by
the Hypergeometric Differential Equation 191--204
Martin Traizet Exploring the Space of Embedded Minimal
Surfaces of Finite Total Curvature . . . 205--221
Jonathan M. Borwein and
Bruno Salvy A Proof of a Recurrence for Bessel
Moments . . . . . . . . . . . . . . . . 223--230
Steven J. Miller and
Tim Novikoff and
Anthony Sabelli The Distribution of the Largest
Nontrivial Eigenvalues in Families of
Random Regular Graphs . . . . . . . . . 231--244
I. R. Hentzel and
L. A. Peresi Nuclear Elements of Degree $6$ in the
Free Alternative Algebra . . . . . . . . 245--255
Anonymous Table of Contents, Experiment. Math.,
vol. 17, no. 2 (2008) . . . . . . . . . ??
Jin-Hwan Cho and
Ji-Young Ham The Minimal Dilatation of a Genus-Two
Surface . . . . . . . . . . . . . . . . 257--267
Takeshi Sasaki and
Kotaro Yamada and
Masaaki Yoshida The Hyperbolic Schwarz Map for the
Hypergeometric . . . . . . . . . . . . . 269--282
Oliver Goodman and
Damian Heard and
Craig Hodgson Commensurators of Cusped Hyperbolic
Manifolds . . . . . . . . . . . . . . . 283--306
John J. Cannon and
Derek F. Holt The Transitive Permutation Groups of
Degree $ 32 $ . . . . . . . . . . . . . 307--314
F. Thaine On the Construction of Families of
Cyclic Polynomials Whose Roots Are Units 315--331
Tomas Johnson $ L^p $ Spectral Radius Estimates for
the Lamé System on an Infinite Sector . . 333--339
Manuel Kauers and
Doron Zeilberger Experiments with a Positivity-Preserving
Operator . . . . . . . . . . . . . . . . 341--345
Melissa L. Macasieb Derived Arithmetic Fuchsian Groups of
Genus Two . . . . . . . . . . . . . . . 347--369
Andrew Bremner On the Equation $ {Y}^2 = {X}^5 + k $ 371--374
Dean Alvis Subrings of the Asymptotic Hecke Algebra
of Type $ H_4 $ . . . . . . . . . . . . 375--383
Anonymous Table of Contents, Experiment. Math.,
vol. 17, no. 3 (2008) . . . . . . . . . ??
Andrew Bremmer When Can $ ((({X}^2 - {P})^2 - {Q})^2 -
{R})^2 - {S}^2 $ Split into Linear
Factors? . . . . . . . . . . . . . . . . 385--390
Lluís Alsed\`a and
David Juher and
Deborah M. King A Lower Bound for the Maximum
Topological Entropy of $ (4 k + 2)
$-Cycles . . . . . . . . . . . . . . . . 391--408
Daniel B. Grünberg and
Pieter Moree Sequences of Enumerative Geometry:
Congruences and Asymptotics, with an
appendix by Don Zagier . . . . . . . . . 409--426
Lassina Dembélé An Algorithm for Modular Elliptic Curves
over Real Quadratic Fields . . . . . . . 427--438
Shaun Cooper The Cubic Chan--Chua Conjecture . . . . 439--442
V. Flammang On the Absolute Trace of Polynomials
Having All Zeros in a Sector . . . . . . 443--450
Michael J. Mossinghoff and
Georges Rhin and
Qiang Wu Minimal Mahler Measures . . . . . . . . 451--458
Ariel Pacetti and
Gonzalo Tornaría Computing Central Values of Twisted
$L$-Series: The Case of Composite Levels 459--472
Damian Heard and
Ekaterina Pervova and
Carlo Petronio The $ 191 $ Orientable Octahedral
Manifolds . . . . . . . . . . . . . . . 473--486
Kheira Ameur and
Mohamed Elhamdadi and
Tom Rose and
Masahico Saito and
Chad Smudde Tangle Embeddings and Quandle Cocycle
Invariants . . . . . . . . . . . . . . . 487--498
W. Plesken and
D. Robertz Elimination for Coefficients of Special
Characteristic Polynomials . . . . . . . 499--510
Anonymous Table of Contents, Experiment. Math.,
vol. 17, no. 4 (2008) . . . . . . . . . ??
Graham Everest and
Valéry Mahé A Generalization of Siegel's Theorem and
Hall's Conjecture . . . . . . . . . . . 1--10
Clifton Cunningham and
Julia Gordon Motivic Proof of a Character Formula for
SL(2) . . . . . . . . . . . . . . . . . 11--44
Alexander Engström Discrete Morse Functions from Fourier
Transforms . . . . . . . . . . . . . . . 45--54
Avner Ash and
Brandon Bate and
Robert Gross Frequencies of Successive Tuples of
Frobenius Classes . . . . . . . . . . . 55--64
Nicolas Bernard and
Franck Leprévost and
Michael Pohst Jacobians of Genus-$2$ Curves with a
Rational Point of Order $ 11 $ . . . . . 65--70
Anna Scaramuzza Algorithms for Projectivity and Extremal
Classes of a Smooth Toric Variety . . . 71--84
Christian Weber Low-Degree Cohomology of Integral Specht
Modules . . . . . . . . . . . . . . . . 85--96
Guo-Niu Han Some Conjectures and Open Problems on
Partition Hook Lengths . . . . . . . . . 97--106
D. H. Bailey and
J. M. Borwein and
R. E. Crandall Resolution of the Quinn--Rand--Strogatz
Constant of Nonlinear Physics . . . . . 107--116
Morgan Sherman Convergence Properties of Donaldson's
$T$-Iterations on the Riemann Sphere . . 117--126
Anonymous Table of Contents, Experiment. Math.,
vol. 18, no. 1 (2009) . . . . . . . . . ??
Carlos Castaño-Bernard A Note on the Rational Points of $
X_0^+(N) $ . . . . . . . . . . . . . . . 129--135
Richard Evan Schwartz Obtuse Triangular Billiards II: One
Hundred Degrees Worth of Periodic
Trajectories . . . . . . . . . . . . . . 137--171
Mark Levi and
Serge Tabachnikov On Bicycle Tire Tracks Geometry, Hatchet
Planimeter, Menzin's Conjecture, and
Oscillation of Unicycle Tracks . . . . . 173--186
Michael Eisermann and
Christoph Lamm For Which Triangles Is Pick's Formula
Almost Correct? . . . . . . . . . . . . 187--191
Jeffrey Stopple The Quadratic Character Experiment . . . 193--200
Rafa\l Lutowski On Symmetry of Flat Manifolds . . . . . 201--204
Bettina Eick and
Dörte Feichtenschlager Constructing CF Groups by Coclass . . . 205--211
Takashi Fukuda and
Keiichi Komatsu Weber's Class Number Problem in the
Cyclotomic $ {\rm Z}_2 $-Extension of $
{\rm Q} $ . . . . . . . . . . . . . . . 213--222
Matteo Petrera and
Andreas Pfadler and
Yuri B. Suris On Integrability of Hirota--Kimura-Type
Discretizations: Experimental Study of
the Discrete Clebsch System . . . . . . 223--247
Jeffrey Wang Finding and Investigating Exact
Spherical Codes . . . . . . . . . . . . 249--256
Anonymous Table of Contents, Experiment. Math.,
vol. 18, no. 2 (2009) . . . . . . . . . ??
Brandon Ballinger and
Grigoriy Blekherman and
Henry Cohn and
Noah Giansiracusa and
Elizabeth Kelly and
Achill Schürmann Experimental Study of Energy-Minimizing
Point Configurations on Spheres . . . . 257--283
Motoo Tange Lens Spaces Given from $L$-Space
Homology $3$-Spheres . . . . . . . . . . 285--301
Minoru Yabuta Primitive Divisors of Certain Elliptic
Divisibility Sequences . . . . . . . . . 303--310
Yuhei Umeda Constant-Mean-Curvature Surfaces with
Singularities in Minkowski $3$-Space . . 311--323
Sergey Kushnarev Teichons: Solitonlike Geodesics on
Universal Teichmüller Space . . . . . . . 325--336
Clifton Cunningham and
Lassina Dembélé Computing Genus-$2$ Hilbert--Siegel
Modular Forms over $ {\rm Q}(\sqrt {5})
$ via the Jacquet--Langlands
Correspondence . . . . . . . . . . . . . 337--345
X. W. C. Faber The Geometric Bogomolov Conjecture for
Curves of Small Genus . . . . . . . . . 347--367
Hirotachi Abo and
Maria Chiara Brambilla Secant Varieties of Segre--Veronese
Varieties $ \mathbb {P}^m \times \mathbb
{P}^n $ Embedded by $ \mathcal {O}(1, 2)
$ . . . . . . . . . . . . . . . . . . . 369--384
Anonymous Table of Contents, Experiment. Math.,
vol. 18, no. 3 (2009) . . . . . . . . . ??
Hennie De Schepper and
Frank Sommen and
Liesbet Van de Voorde A Basic Framework for Discrete Clifford
Analysis . . . . . . . . . . . . . . . . 385--395
E. Kin and
S. Koijima and
M. Takasawa Entropy versus Volume for Pseudo-Anosovs 397--407
V. Gelfreich and
V. Naudot Width of the Homoclinic Zone in the
Parameter Space for Quadratic Maps . . . 409--427
Sonal Jain Minimal Regulators for Rank-2 Subgroups
of Rational and $ {K3} $ Elliptic
Surfaces . . . . . . . . . . . . . . . . 429--447
Tyrus Berry and
Steven M. Heilman and
Robert S. Strichartz Outer Approximation of the Spectrum of a
Fractal Laplacian . . . . . . . . . . . 449--480
Adam Boocher and
Jay Daigle and
Jim Hoste and
Wenjing Zheng Sampling Lissajous and Fourier Knots . . 481--497
Christian Böhning and
Hans-Christian Graf von Bothmer and
Jakob Kröker Rationality of Moduli Spaces of Plane
Curves of Small Degree . . . . . . . . . 499--508
Anonymous Table of Contents, Experiment. Math.,
vol. 18, no. 4 (2009) . . . . . . . . . ??
Liqun Fang and
J. William Hoffman and
Benjamin Linowitz and
Andrew Rupinski and
Helena Verrill Modular Forms on Noncongruence Subgroups
and Atkin--Swinnerton-Dyer Relations . . 1--27
Tobias Finis and
Fritz Grunewald and
Paulo Tirao The Cohomology of Lattices in $ {\rm
SL}(2, \mathbb {C}) $ . . . . . . . . . 29--63
Hidenori Katsurada Exact Standard Zeta Values of Siegel
Modular Forms . . . . . . . . . . . . . 65--77
Stefan Hougardy and
Frank H. Lutz and
Mariano Zelke Surface Realization with the
Intersection Segment Functional . . . . 79--92
Gilles Lebeau and
Maëlle Nodet Experimental Study of the HUM Control
Operator for Linear Waves . . . . . . . 93--120
Ben Elias and
Lior Silberman and
Ramin Takloo-Bighash Minimal Permutation Representations of
Nilpotent Groups . . . . . . . . . . . . 121--128
Anonymous Table of Contents, Experiment. Math.,
vol. 19, no. 1 (201009) . . . . . . . . ??
Moira Chas and
Anthony Phillips Self-Intersection Numbers of Curves on
the Punctured Torus . . . . . . . . . . 129--148
Jack Fearnley and
Hershy Kisilevsky Critical Values of Derivatives of
Twisted Elliptic $L$-Functions . . . . . 149--160
Hossein Movasati and
Stefan Reiter Painlevé VI Equations with Algebraic
Solutions and Family of Curves . . . . . 161--173
Hans D. Mittelmann and
Frank Vallentin High-Accuracy Semidefinite Programming
Bounds for Kissing Numbers . . . . . . . 174--178
Andreas-Stephan Elsenhans and
Jörg Jahnel On the Smallest Point on a Diagonal
Cubic Surface . . . . . . . . . . . . . 181--193
Daniel Delbourgo and
Thomas Ward The Growth of CM Periods over False Tate
Extensions . . . . . . . . . . . . . . . 195--210
Damian Heard and
Craig Hodgson and
Bruno Martelli and
Carlo Petronio Hyperbolic Graphs of Small Complexity 211--236
Alireza Sarveniazi and
Stefan Wiedmann Explicit Construction of the
(13,13)-Regular Hypergraph . . . . . . . 237--242
Sebastian Mayer Calculation of Hilbert Borcherds
Products . . . . . . . . . . . . . . . . 243--256
Anonymous Table of Contents, Experiment. Math.,
vol. 19, no. 2 (2010) . . . . . . . . . ??
Kimberly Hopkins Higher-Weight Heegner Points . . . . . . 257--266
Nicholas M. Katz $2$, $3$, $5$, Legendre: $ \pm $ Trace
Ratios in Families of Elliptic Curves 267--277
Alessandro Languasco and
Alessandro Zaccagnini Computing the Mertens and
Meissel--Mertens Constants for Sums over
Arithmetic Progressions . . . . . . . . 279--284
Benjamin A. Burton Quadrilateral-Octagon Coordinates for
Almost Normal Surfaces . . . . . . . . . 285--315
Helen Avelin Computations of Green's Function and Its
Fourier Coefficients on Fuchsian Groups 317--334
Helen Avelin Numerical Computations of Green's
Function and Its Fourier Coefficients on
$ {\rm PSL}(2, \mathbb {Z}) $ . . . . . 335--343
Guillaume Hanrot and
Bruno Martin and
Gérald Tenenbaum Constantes de Turán--Kubilius friables:
une étude numérique. (French) [Reducible
Turán--Kubilius constants: a numerical
study] . . . . . . . . . . . . . . . . . 345--361
Jakob Jonsson More Torsion in the Homology of the
Matching Complex . . . . . . . . . . . . 363--383
Kevin Ford and
Jason Sneed Chebyshev's Bias for Products of Two
Primes . . . . . . . . . . . . . . . . . 385--398
Steve Butler and
Kevin P. Costello and
Ron Graham Finding Patterns Avoiding Many
Monochromatic Constellations . . . . . . 399--411
Andrew Kresch CW Complexes for Complex Algebraic
Surfaces . . . . . . . . . . . . . . . . 413--419
Masato Goshima and
Masakazu Yamagishi On the Dimension of the Space of
Harmonic Functions on a Discrete Torus 421--429
Jonathan M. Borwein and
O-Yeat Chan and
R. E. Crandall Higher-Dimensional Box Integrals . . . . 431--446
Dominique Cerveau and
Julie Déserti Feuilletages et transformations
périodiques. (French) [Branching and
periodic transformations] . . . . . . . 447--464
Gunter Malle On the Distribution of Class Groups of
Number Fields . . . . . . . . . . . . . 465--474
Eric D. Driver and
John W. Jones Minimum Discriminants of Imprimitive
Decic Fields . . . . . . . . . . . . . . 475--479
Tanguy Rivoal Extremality Properties of Some
Diophantine Series . . . . . . . . . . . 481--494
Aaron Greicius Elliptic Curves with Surjective Adelic
Galois Representations . . . . . . . . . 495--507
Yoshihiro Fukumoto $w$-Invariants and the Fintushel--Stern
Invariants for Plumbed Homology
$3$-Spheres . . . . . . . . . . . . . . 1--14
Antonio J. Durán Rodrigues's Formulas for Orthogonal
Matrix Polynomials Satisfying
Higher-Order Differential Equations . . 15--24
Winfried Bruns and
Raymond Hemmecke and
Bogdan Ichim and
Matthias Köppe and
Christof Söger Challenging Computations of Hilbert
Bases of Cones Associated with Algebraic
Statistics . . . . . . . . . . . . . . . 25--33
Ian Morrison and
David Swinarski Gröbner Techniques for Low-Degree Hilbert
Stability . . . . . . . . . . . . . . . 34--56
Ted Ashton and
Jason Cantarella and
Michael Piatek and
Eric J. Rawdon Knot Tightening by Constrained Gradient
Descent . . . . . . . . . . . . . . . . 57--90
Tohru Eguchi and
Hirosi Ooguri and
Yuji Tachikawa Notes on the $ K3 $ Surface and the
Mathieu Group $ {M_24} $ . . . . . . . . 91--96
Pierre Arnoux and
Julien Bernat and
Xavier Bressaud Geometrical Models for Substitutions . . 97--127
Barnaby Dalton and
Mustazee Rahman and
Stephen Tanny Spot-Based Generations for
Meta-Fibonacci Sequences . . . . . . . . 129--137
Askar Dzhumadil'daev and
Pasha Zusmanovich The Alternative Operad Is Not Koszul . . 138--144
Mikkel Abrahamsen and
Sòren ren Eilers On the Asymptotic Enumeration of LEGO
Structures . . . . . . . . . . . . . . . 145--152
J. O. Button Proving Finitely Presented Groups are
Large by Computer . . . . . . . . . . . 153--168
Xavier-François Roblot and
Alfred Weiss Numerical Evidence Toward a $2$-adic
Equivariant ``Main Conjecture'' . . . . 169--176
E. Giné and
C. S. Güntürk and
W. R. Madych On the Periodized Square of $ L^2 $
Cardinal Splines . . . . . . . . . . . . 177--188
Kevin G. Hare Generalized Gorshkov--Wirsing
Polynomials and the Integer Chebyshev
Problem . . . . . . . . . . . . . . . . 189--200
Jonathan Spreer and
Wolfgang Kühnel Combinatorial Properties of the $ K^3 $
Surface: Simplicial Blowups and Slicings 201--216
Markus Kirschmer Finite Symplectic Matrix Groups . . . . 217--228
David Bremner and
Lars Schewe Edge-Graph Diameter Bounds for Convex
Polytopes with Few Facets . . . . . . . 229--237
Steven M. Heilman and
Philip Owrutsky and
Robert S. Strichartz Orthogonal Polynomials with Respect to
Self-Similar Measures . . . . . . . . . 238--259
Édouard Oudet Approximation of Partitions of Least
Perimeter by $ \Gamma $-Convergence:
Around Kelvin's Conjecture . . . . . . . 260--270
Franck Leprévost and
Michael Pohst and
Osmanbey Uzunkol On the Computation of Class Polynomials
with ``Thetanullwerte'' and Its
Applications to the Unit Group
Computation . . . . . . . . . . . . . . 271--281
Dror Bar-Natan and
Iva Halacheva and
Louis Leung and
Fionntan Roukema Some Dimensions of Spaces of Finite Type
Invariants of Virtual Knots . . . . . . 282--287
Atanas Atanasov and
Christopher Lopez and
Alexander Perry and
Nicholas Proudfoot and
Michael Thaddeus Resolving Toric Varieties with Nash
Blowups . . . . . . . . . . . . . . . . 288--303
V. Bonnaillie-Noël and
B. Helffer Numerical Analysis of Nodal Sets for
Eigenvalues of Aharonov--Bohm
Hamiltonians on the Square with
Application to Minimal Partitions . . . 304--322
Tomas Johnson A Quartic System with Twenty-Six Limit
Cycles . . . . . . . . . . . . . . . . . 323--328
Joseph H. Silverman and
Katherine E. Stange Amicable Pairs and Aliquot Cycles for
Elliptic Curves . . . . . . . . . . . . 329--357
Daniel J. Bates and
Luke Oeding Toward a Salmon Conjecture . . . . . . . 358--370
Anonymous Corrigendum . . . . . . . . . . . . . . 371
Andreas-Stephan Elsenhans Rational Points on Some Fano Quadratic
Bundles . . . . . . . . . . . . . . . . 373--379
Elena Fuchs and
Katherine Sanden Some Experiments with Integral
Apollonian Circle Packings . . . . . . . 380--399
Avner Ash and
Laura Beltis and
Robert Gross and
Warren Sinnott Frequencies of Successive Pairs of Prime
Residues . . . . . . . . . . . . . . . . 400--411
D. D. Long and
A. W. Reid Small Subgroups of $ {\sf SL}(3, \mathbb
{Z}) $ . . . . . . . . . . . . . . . . . 412--425
Werner Bley Numerical Evidence for the Equivariant
Birch and Swinnerton-Dyer Conjecture . . 426--456
Gregory S. Warrington Equivalence Classes for the $ \mu
$-Coefficient of Kazhdan--Lusztig
Polynomials in $ S_n $ . . . . . . . . . 457--466
Martin Deraux and
John R. Parker and
Julien Paupert Census of the Complex Hyperbolic
Sporadic Triangle Groups . . . . . . . . 467--486
Mehmet Haluk \cSengün On the Integral Cohomology of Bianchi
Groups . . . . . . . . . . . . . . . . . 487--505
Anonymous Editorial Board EOV . . . . . . . . . . ebi
Anonymous Miscellaneous backmatter, Experiment.
Math., vol. 20, no. 4 (2011) . . . . . . ??
Reza Rezaeian Farashahi and
Igor E. Shparlinski On Group Structures Realized by Elliptic
Curves over a Fixed Finite Field . . . . 1--10
William D. Banks and
Francesco Pappalardi and
Igor E. Shparlinski On Group Structures Realized by Elliptic
Curves over Arbitrary Finite Fields . . 11--25
Moira Chas and
Anthony Phillips Self-Intersection Numbers of Curves in
the Doubly Punctured Plane . . . . . . . 26--37
Emmanuel Kowalski and
David Zywina The Chebotarev Invariant of a Finite
Group . . . . . . . . . . . . . . . . . 38--56
Leo T. Butler Smooth Structures on Eschenburg Spaces:
Numerical Computations . . . . . . . . . 57--64
Jesús Guillera Mosaic Supercongruences of Ramanujan
Type . . . . . . . . . . . . . . . . . . 65--68
Carlos Beltrán and
Anton Leykin Certified Numerical Homotopy Tracking 69--83
Josep González and
Jorge Jiménez-Urroz The Sato--Tate Distribution and the
Values of Fourier Coefficients of
Modular Newforms . . . . . . . . . . . . 84--102
Michael A. Bennett and
Soroosh Yazdani A Local Version of Szpiro's Conjecture 103--116
Jan H. Bruinier and
Fredrik Strömberg Computation of Harmonic Weak Maass Forms 117--131
William D. Banks and
Sarah Kang On Repeated Values of the Riemann Zeta
Function on the Critical Line . . . . . 132--140
Pavel Etingof and
Sherry Gong and
Aldo Pacchiano and
Qingchun Ren and
Travis Schedler Computational Approaches to Poisson
Traces Associated to Finite Subgroups of
$ {\rm Sp}_{2n}(\mathbb (C)) $ . . . . . 141--170
Almar Kaid and
Ralf Kasprowitz Semistable Vector Bundles and Tannaka
Duality from a Computational Point of
View . . . . . . . . . . . . . . . . . . 171--188
Thomas Lam and
Lauren Williams A Markov Chain on the Symmetric Group
That Is Schubert Positive? . . . . . . . 189--192
Valery Alexeev and
Ryan Livingston and
Joseph Tenini and
Maxim Arap and
Xiaoyan Hu and
Lauren Huckaba and
Patrick McFaddin and
Stacy Musgrave and
Jaeho Shin and
Catherine Ulrich Extended Torelli Map to the Igusa Blowup
in Genus $6$, $7$, and $8$ . . . . . . . 193--203
T. D. Browning and
K. Van Valckenborgh Sums of Three Squareful Numbers . . . . 204--211
Jack Fearnley and
Hershy Kisilevsky Critical Values of Higher Derivatives of
Twisted Elliptic $L$-Functions . . . . . 213--222
Gert Almkvist and
Jesús Guillera Ramanujan-like Series for $ 1 / \pi^2 $
and String Theory . . . . . . . . . . . 223--234
Jörn Steuding and
Elias Wegert The Riemann Zeta Function on Arithmetic
Progressions . . . . . . . . . . . . . . 235--240
Stavros Garoufalidis and
Christoph Koutschan The Noncommutative $A$-Polynomial of $ (
- 2, 3, n) $ Pretzel Knots . . . . . . . 241--251
Luis D. García-Puente and
Nickolas Hein and
Christopher Hillar and
Abraham Martín del Campo and
James Ruffo and
Frank Sottile and
Zach Teitler The Secant Conjecture in the Real
Schubert Calculus . . . . . . . . . . . 252--265
Takahiro Hayata and
Takayuki Oda and
Tomoki Yatougo Zero Cells of the Siegel--Gottschling
Fundamental Domain of Degree 2 . . . . . 266--279
Milena Hering and
Diane Maclagan The $T$-Graph of a Multigraded Hilbert
Scheme . . . . . . . . . . . . . . . . . 280--297
Nathan Barker and
Nigel Boston and
Ben Fairbairn A Note on Beauville $p$-Groups . . . . . 298--306
Matthew W. Alderson and
Michael O. Rubinstein Conjectures and Experiments Concerning
the Moments of $ L(1 / 2, \chi_d) $ . . 307--328
Nathan M. Dunfield and
Stefan Friedl and
Nicholas Jackson Twisted Alexander Polynomials of
Hyperbolic Knots . . . . . . . . . . . . 329--352
Per Alexandersson and
Boris Shapiro Discriminants, Symmetrized Graph
Monomials, and Sums of Squares . . . . . 353--361
Salman Baig and
Chris Hall Experimental Data for Goldfeld's
Conjecture over Function Fields . . . . 362--374
David H. Bailey and
Jonathan M. Borwein and
Cristian S. Calude and
Michael J. Dinneen and
Monica Dumitrescu and
Alex Yee An Empirical Approach to the Normality
of $ \pi $ . . . . . . . . . . . . . . . 375--384
Janko Böhm and
David Eisenbud and
Max J. Nitsche Decomposition of Semigroup Algebras . . 385--394
Tristram Bogart and
Ray Hemmecke and
Sonja Petrovi\'c Universal Gröbner Bases of Colored
Partition Identities . . . . . . . . . . 395--401
Matthew Begue and
Daniel J. Kelleher and
Aaron Nelson and
Hugo Panzo and
Ryan Pellico and
Alexander Teplyaev Random Walks on Barycentric Subdivisions
and the Strichartz Hexacarpet . . . . . 402--417
Anonymous Corrigendum . . . . . . . . . . . . . . 418--418
Anonymous Editorial Board EOV . . . . . . . . . . ebi--ebi
Jonathan M. Borwein and
Armin Straub and
James Wan Three-Step and Four-Step Random Walk
Integrals . . . . . . . . . . . . . . . 1--14
Ayumu Inoue A Symmetric Motion Picture of the
Twist-Spun Trefoil . . . . . . . . . . . 15--25
Wutichai Chongchitmate and
Lenhard Ng An Atlas of Legendrian Knots . . . . . . 26--37
Daniel J. Bates and
Jonathan D. Hauenstein and
Timothy M. McCoy and
Chris Peterson and
Andrew J. Sommese Recovering Exact Results from Inexact
Numerical Data in Algebraic Geometry . . 38--50
John J. Cannon and
Derek F. Holt Computing Projective Indecomposable
Modules and Higher Cohomology Groups . . 51--59
F. Chapoton and
L. Manivel Triangulations and Severi Varieties . . 60--73
Alexander Leong and
Jeffrey Shallit Counting Sequences with Small
Discrepancies . . . . . . . . . . . . . 74--84
Xavier Guitart and
Marc Masdeu Computation of ATR Darmon Points on
Nongeometrically Modular Elliptic Curves 85--98
Laura De Marco and
Aaron Schiff The Geometry of the Critically Periodic
Curves in the Space of Cubic Polynomials 99--111
Moon Duchin and
Samuel Leli\`evre and
Christopher Mooney The Sprawl Conjecture for Convex Bodies 113--122
Neil Dummigan A Simple Trace Formula for Algebraic
Modular Forms . . . . . . . . . . . . . 123--131
Oleg Lazarev and
Steven J. Miller and
Kevin O'Bryant Distribution of Missing Sums in Sumsets 132--156
Richard Evan Schwartz The Five-Electron Case of Thomson's
Problem . . . . . . . . . . . . . . . . 157--186
Alexander Barg and
Wei-Hsuan Yu New Bounds for Spherical Two-Distance
Sets . . . . . . . . . . . . . . . . . . 187--194
J. B. Conrey and
M. A. Holmstrom and
T. L. McLaughlin Smooth Neighbors . . . . . . . . . . . . 195--202
Paul E. Gunnells and
Farshid Hajir and
Dan Yasaki Modular Forms and Elliptic Curves over
the Field of Fifth Roots of Unity . . . 203--216
Roelof Bruggeman and
Markus Fraczek and
Dieter Mayer Perturbation of Zeros of the Selberg
Zeta Function for $ \Gamma_0 (4) $ . . . 217--242
David Harvey and
Igor E. Shparlinski Statistics of Different Reduction Types
of Fermat Curves . . . . . . . . . . . . 243--249
James E. Colliander and
Jeremy L. Marzuola and
Tadahiro Oh and
Gideon Simpson Behavior of a Model Dynamical System
with Applications to Weak Turbulence . . 250--264
Eugene Gorsky and
Alexei Oblomkov and
Jacob Rasmussen On Stable Khovanov Homology of Torus
Knots . . . . . . . . . . . . . . . . . 265--281
Alden Walker Stable Commutator Length in Free
Products of Cyclic Groups . . . . . . . 282--298
B. Pasquier and
N. Ressayre The Saturation Property for Branching
Rules --- Examples . . . . . . . . . . . 299--312
Ivan Cheltsov and
Constantin Shramov Del Pezzo Zoo . . . . . . . . . . . . . 313--326
Qingchun Ren and
Steven V. Sam and
Gus Schrader and
Bernd Sturmfels The Universal Kummer Threefold . . . . . 327--362
Amod Agashe Conjectures Concerning the Orders of the
Torsion Subgroup, the Arithmetic
Component Groups, and the Cuspidal
Subgroup . . . . . . . . . . . . . . . . 363--366
Moira Chas and
Keren Li and
Bernard Maskit Experiments Suggesting That the
Distribution of the Hyperbolic Length of
Closed Geodesics Sampling by Word Length
Is Gaussian . . . . . . . . . . . . . . 367--371
Jonathan D. Hauenstein and
Christian Ikenmeyer and
J. M. Landsberg Equations for Lower Bounds on Border
Rank . . . . . . . . . . . . . . . . . . 372--383
Richard Evan Schwartz Pentagram Spirals . . . . . . . . . . . 384--405
H. A. Helfgott and
David J. Platt Numerical Verification of the Ternary
Goldbach Conjecture up to $ 8.875 \cdot
10^{30} $ . . . . . . . . . . . . . . . 406--409
Nicolas Bergeron and
Elisha Falbel and
Antonin Guilloux and
Pierre-Vincent Koseleff and
Fabrice Rouillier Local Rigidity for $ {\rm PGL}(3,
\mathbb {C}) $-Representations of
$3$-Manifold Groups . . . . . . . . . . 410--420
J. L. Brumbaugh and
Madeleine Bulkow and
Luis Alberto Garcia German and
Stephan Ramon Garcia and
Matt Michal and
Andrew P. Turner The Graphic Nature of the Symmetric
Group . . . . . . . . . . . . . . . . . 421--442
L. Hajdu and
T. Kovács and
A. Peth\Ho and
M. Pohst An Optimization Problem for Lattices . . 443--455
Rafal Lutowski Finite Outer Automorphism Groups of
Crystallographic Groups . . . . . . . . 456--464
Michael O. Rubinstein Elliptic Curves of High Rank and the
Riemann Zeta Function on the One Line 465--480
Anonymous EOV Editorial Board . . . . . . . . . . ebi--ebi
S. El Otmani and
A. Maul and
G. Rhin and
J.-M. Sac-Épée Finding Degree-$ 16 $ Monic Irreducible
Integer Polynomials of Minimal Trace by
Optimization Methods . . . . . . . . . . 1--5
Jonathan Miller and
Ramin Naimi An Algorithm for Detecting Intrinsically
Knotted Graphs . . . . . . . . . . . . . 6--12
E. Dubon and
J. M. Sepulcre On the Complex Dimensions of Nonlattice
Fractal Strings in Connection with
Dirichlet Polynomials . . . . . . . . . 13--24
David Borthwick Distribution of Resonances for
Hyperbolic Surfaces . . . . . . . . . . 25--45
Hans-Christian Herbig and
Christopher Seaton The Hilbert Series of a Linear
Symplectic Circle Quotient . . . . . . . 46--65
Bruno Benedetti and
Frank H. Lutz Random Discrete Morse Theory and a New
Library of Triangulations . . . . . . . 66--94
Nihal Bircan A Conjecture on Units of Quadratic
Fields . . . . . . . . . . . . . . . . . 95--98
Reinhard E. Ganz The Decimal Expansion of $ \pi $ Is Not
Statistically Random . . . . . . . . . . 99--104
Konstantinos F. Xylogiannopoulos and
Panagiotis Karampelas and
Reda Alhajj Experimental Analysis on the Normality
of Using Advanced Data-Mining Techniques 105--128
Andreas Enge and
Emmanuel Thomé Computing Class Polynomials for Abelian
Surfaces . . . . . . . . . . . . . . . . 129--145
Evan DeCorte and
David de Laat and
Frank Vallentin Fourier Analysis on Finite Groups and
the Lovász $ \theta $-Number of Cayley
Graphs . . . . . . . . . . . . . . . . . 146--152
Peter D. Horn On Computing the First Higher-Order
Alexander Modules of Knots . . . . . . . 153--169
Benjamin A. Burton A Duplicate Pair in the SnapPea Census 170--173
Urban Jezernik and
Primoz Moravec Bogomolov Multipliers of Groups of Order
$ 128 $ . . . . . . . . . . . . . . . . 174--180
Martin Edjvet and
Jerry Swan On Irreducible Cyclic Presentations of
the Trivial Group . . . . . . . . . . . 181--189
Gary McGuire and
Bastian Tugemann and
Gilles Civario There Is No $ 16$-Clue Sudoku: Solving
the Sudoku Minimum Number of Clues
Problem via Hitting Set Enumeration . . 190--217
Marc Lackenby and
Jessica S. Purcell Geodesics and Compression Bodies . . . . 218--240
Oscar Garcia-Morchon and
Ronald Rietman and
Igor E. Shparlinski and
Ludo Tolhuizen Interpolation and Approximation of
Polynomials in Finite Fields over a
Short Interval from Noisy Values . . . . 241--260
Scott Crass Dynamics of a Soccer Ball . . . . . . . 261--270
Moira Chas Self-Intersection Numbers of
Length-Equivalent Curves on Surfaces . . 271--276
Stuart J. Hall Perelman's Entropy for Some Families of
Canonical Metrics . . . . . . . . . . . 277--284
Boris Hasselblatt and
Donald Plante Jr. On the Interior of ``Fat'' Sierpi\'nski
Triangles . . . . . . . . . . . . . . . 285--309
Federico Galetto Computational Methods for Orbit Closures
in a Representation with Finitely Many
Orbits . . . . . . . . . . . . . . . . . 310--321
Bogdan Ichim and
Andrei Zarojanu An Algorithm for Computing the
Multigraded Hilbert Depth of a Module 322--331
Frédéric Chapoton and
Samuele Giraudo Enveloping Operads and Bicolored
Noncrossing Configurations . . . . . . . 332--349
Ryan Davis and
Charles Doran and
Adam Gewiss and
Andrey Novoseltsev and
Dmitri Skjorshammer and
Alexa Syryczuk and
Ursula Whitcher Short Tops and Semistable Degenerations 351--362
Edson de Faria and
Charles Tresser On Sloane's Persistence Problem . . . . 363--382
Graham Ellis and
Luyen Van Le Homotopy $2$-Types of Low Order . . . . 383--389
Maki Furukado and
Shunji Ito and
Asaki Saito and
Jun-ichi Tamura and
Shin-ichi Yasutomi A New Multidimensional Slow Continued
Fraction Algorithm and Stepped Surface 390--410
Andreas-Stephan Elsenhans A Note on Short Cosets . . . . . . . . . 411--413
Kathryn E. Hare and
L. Thomas Ramsey Kronecker Constants of Arithmetic
Progressions . . . . . . . . . . . . . . 414--422
Sho Takemori Congruence Relations for Siegel Modular
Forms of Weight $ 47 $, $ 71 $, and $ 89
$ . . . . . . . . . . . . . . . . . . . 423--428
Steven H. Weintraub The Adjoint of Differentiation . . . . . 429--432
Robert L. Benedetto and
Ruqian Chen and
Trevor Hyde and
Yordanka Kovacheva and
Colin White Small Dynamical Heights for Quadratic
Polynomials and Rational Functions . . . 433--447
Torsten Hoge and
Gerhard Röhrle Ziegler's Multireflection Arrangements
Are Free . . . . . . . . . . . . . . . . 448--451
Nicholas M. Katz Equidistribution Questions for Universal
Extensions . . . . . . . . . . . . . . . 452--464
Andreas C. Aristotelous and
Richard Durrett Fingering in Stochastic Growth Models 465--474
Edgar Costa and
Yuri Tschinkel Variation of Néron--Severi Ranks of
Reductions of K3 Surfaces . . . . . . . 475--481
Juan García Escudero Arrangements of Real Lines and Surfaces
with $A$ and $D$ Singularities . . . . . 482--491
Idan Oren and
Uzy Smilansky Periodic Walks on Large Regular Graphs
and Random Matrix Theory . . . . . . . . 492--498
Anonymous Editorial Board EOV . . . . . . . . . . ebi--ebi
Julien Clancy and
Timothy Leake and
Sam Payne A Note on Jacobians, Tutte Polynomials,
and Two-Variable Zeta Functions of
Graphs . . . . . . . . . . . . . . . . . 1--7
Alexander Berkovich and
Frank Patane Essentially Unique Representations by
Certain Ternary Quadratic Forms . . . . 8--22
Francesco Cellarosi and
Doug Hensley and
Steven J. Miller and
Jake L. Wellens Continued Fraction Digit Averages and
Maclaurin's Inequalities . . . . . . . . 23--44
Bart De Bruyn Every Generalized Quadrangle of Order
$5$ Having a Regular Point Is Symplectic 45--52
In-Jee Jeong Outer Billiards with Contraction:
Attracting Cantor Sets . . . . . . . . . 53--64
Sebastian Heller and
Nicholas Schmitt Deformations of Symmetric CMC Surfaces
in the $3$-Sphere . . . . . . . . . . . 65--75
Laurent Bartholdi and
Xavier Buff and
Hans-Christian Graf von Bothmer and
Jakob Kröker Algorithmic Construction of Hurwitz Maps 76--92
Shigeyuki Morita and
Takuya Sakasai and
Masaaki Suzuki Integral Euler Characteristic of Out $
F_{11} $ . . . . . . . . . . . . . . . . 93--97
Moritz Firsching Computing Maximal Copies of Polyhedra
Contained in a Polyhedron . . . . . . . 98--105
Terry A. Loring and
Fredy Vides Estimating Norms of Commutators . . . . 106--122
Antonio J. Durán and
Mario Pérez and
Juan L. Varona Some Conjectures on Wronskian and
Casorati Determinants of Orthogonal
Polynomials . . . . . . . . . . . . . . 123--132
J. D. Hauenstein and
A. Lerario and
E. Lundberg and
D. Mehta Experiments on the Zeros of Harmonic
Polynomials Using Certified Counting . . 133--141
István Gaál Calculating ``Small'' Solutions of
Relative Thue Equations . . . . . . . . 142--149
Gleb Beliakov and
Yuri Matiyasevich Approximation of Riemann's Zeta Function
by Finite Dirichlet Series: A
Multiprecision Numerical Approach . . . 150--161
Eugene Gorsky and
Lukas Lewark On Stable $ \mathfrak {sl}_3 $-Homology
of Torus Knots . . . . . . . . . . . . . 162--174
Ted Chinburg and
Holley Friedlander and
Sean Howe and
Michiel Kosters and
Bhairav Singh and
Matthew Stover and
Ying Zhang and
Paul Ziegler Presentations for Quaternionic $S$-Unit
Groups . . . . . . . . . . . . . . . . . 175--182
Francis N. Castro and
Oscar E. González and
Luis A. Medina The $p$-adic Valuation of Eulerian
Numbers: Trees and Bernoulli Numbers . . 183--195
Peter Connor and
Kevin Li and
Matthias Weber Complete Embedded Harmonic Surfaces in $
R^3 $ . . . . . . . . . . . . . . . . . 196--224
Matthias Görner Regular Tessellation Link Complements 225--246
Noriyuki Otsubo On Special Values of Jacobi-Sum Hecke
$L$-Functions . . . . . . . . . . . . . 247--259
Nickolas Hein and
Christopher J. Hillar and
Abraham Martín del Campo and
Frank Sottile and
Zach Teitler The Monotone Secant Conjecture in the
Real Schubert Calculus . . . . . . . . . 261--269
Roberto De Leo A Conjecture on the Hausdorff Dimension
of Attractors of Real Self-Projective
Iterated Function Systems . . . . . . . 270--288
Adrian W. Dudek and
David J. Platt On Solving a Curious Inequality of
Ramanujan . . . . . . . . . . . . . . . 289--294
Kevin G. Hare Base-$d$ Expansions with Digits $0$ to $
q - 1$ . . . . . . . . . . . . . . . . . 295--303
Vefa Goksel and
Shixiang Xia and
Nigel Boston A Refined Conjecture for Factorizations
of Iterates of Quadratic Polynomials
over Finite Fields . . . . . . . . . . . 304--311
Arturas Dubickas and
Min Sha Counting and Testing Dominant
Polynomials . . . . . . . . . . . . . . 312--325
Ken Dykema and
Timo Heister and
Kate Juschenko Finitely Presented Groups Related to
Kaplansky's Direct Finiteness Conjecture 326--338
D. Eelbode and
T. Raeymaekers Polynomial Solutions For Arbitrary
Higher Spin Dirac Operators . . . . . . 339--354
Martin Deraux On Spherical CR Uniformization of
$3$-Manifolds . . . . . . . . . . . . . 355--370
Tim Netzer and
Andreas Thom Kazhdan's Property ($T$) via
Semidefinite Optimization . . . . . . . 371--374
Steve Donnelly and
Paul E. Gunnells and
Ariah Klages-Mundt and
Dan Yasaki A Table of Elliptic Curves over the
Cubic Field of Discriminant-$ 23 $ . . . 375--390
Murray Elder and
Andrew Rechnitzer and
Esaias J. Janse van Rensburg Random Sampling of Trivial Words in
Finitely Presented Groups . . . . . . . 391--409
Kathleen O'Hara and
Dennis Stanton Refinements of the Rogers--Ramanujan
Identities . . . . . . . . . . . . . . . 410--418
Shashank Kanade and
Matthew C. Russell IdentityFinder and Some New Identities
of Rogers--Ramanujan Type . . . . . . . 419--423
F. Cioffi and
P. Lella and
M. G. Marinari and
M. Roggero Minimal Castelnuovo--Mumford Regularity
for a Given Hilbert Polynomial . . . . . 424--437
Jens Forsgård and
Vladimir P. Kostov and
Boris Z. Shapiro Could René Descartes Have Known This? . . 438--448
Sandip Singh Orthogonal Hypergeometric Groups with a
Maximally Unipotent Monodromy . . . . . 449--459
Oleg R. Musin and
Alexey S. Tarasov The Tammes Problem for $ N = 14 $ . . . 460--468
Paolo Aluffi Degrees of Projections of Rank Loci . . 469--488
Hiroyuki Miyata and
Arnau Padrol Enumerating Neighborly Polytopes and
Oriented Matroids . . . . . . . . . . . 489--505
Anonymous Editorial Board EOV . . . . . . . . . . 506--506
E. Tsukerman Ping-Pong and the Traveling Salesman
Problem . . . . . . . . . . . . . . . . 1--7
Zbigniew Blocki and
Wlodzimierz Zwonek On the Suita Conjecture for Some Convex
Ellipsoids in $ \mathbb {C}^2 $ . . . . 8--16
Craig D. Hodgson and
Ahmad Issa and
Henry Segerman Non-geometric Veering Triangulations . . 17--45
Bogdan Ichim and
Lukas Katthän and
Julio José Moyano-Fernández LCM Lattices and Stanley Depth: A First
Computational Approach . . . . . . . . . 46--53
Ekaterina Amerik and
Pär Kurlberg and
Khoa D. Nguyen and
Adam Towsley and
Bianca Viray and
José Felipe Voloch Evidence for the Dynamical Brauer--Manin
Criterion . . . . . . . . . . . . . . . 54--65
Neil Hoffman and
Kazuhiro Ichihara and
Masahide Kashiwagi and
Hidetoshi Masai and
Shin'ichi Oishi and
Akitoshi Takayasu Verified Computations for Hyperbolic
$3$-Manifolds . . . . . . . . . . . . . 66--78
Eduard Roure and
Artur Travesa Two Independent Checkings of the Weak
Goldbach Conjecture up to $ 10^{27} $ 79--82
Anders Jensen and
Anton Leykin and
Josephine Yu Computing Tropical Curves via Homotopy
Continuation . . . . . . . . . . . . . . 83--93
Luke Oeding and
Steven V. Sam Equations for the Fifth Secant Variety
of Segr\`e Products of Projective Spaces 94--99
Dzmitry Badziahin Computation of the Infimum in the
Littlewood Conjecture . . . . . . . . . 100--105
Todd Cochrane and
R. M. S. Dissanayake and
Nicholas Donohoue and
M. I. M. Ishak and
Vincent Pigno and
Chris Pinner and
Craig Spencer Minimal Mahler Measure in Real Quadratic
Fields . . . . . . . . . . . . . . . . . 107--115
Ali Golmakani and
Stefano Luzzatto and
Pawel Pilarczyk Uniform Expansivity Outside a Critical
Neighborhood in the Quadratic Family . . 116--124
Stavros Garoufalidis and
Eric Sabo and
Shane Scott Exact Computation of the $n$-Loop
Invariants of Knots . . . . . . . . . . 125--129
Maria Angelica Cueto and
Hannah Markwig How to Repair Tropicalizations of Plane
Curves Using Modifications . . . . . . . 130--164
Sara Billey and
Matthew Fahrbach and
Alan Talmage Coefficients and Roots of Peak
Polynomials . . . . . . . . . . . . . . 165--175
Gavin Brown and
Alexander Kasprzyk Four-Dimensional Projective Orbifold
Hypersurfaces . . . . . . . . . . . . . 176--193
Edward Newkirk Billiards with Bombs . . . . . . . . . . 194--212
Tanbir Ahmed and
Daniel J. Schaal On Generalized Schur Numbers . . . . . . 213--218
E. Falbel and
A. Guilloux and
P.-V. Koseleff and
F. Rouillier and
M. Thistlethwaite Character Varieties For $ {\rm SL}(3,
\mathbb {C}) $: The Figure Eight Knot 219--235
Mohan Gopaladesikan and
Stephan Wagner and
Mark Daniel Ward On the Asymptotic Probability of
Forbidden Motifs on the Fringe of
Recursive Trees . . . . . . . . . . . . 237--245
Yen-Liang Kuan and
Yi-Hsuan Lin Criterion for Deciding Zeta-Like
Multizeta Values in Positive
Characteristic . . . . . . . . . . . . . 246--256
David Brander Spherical Surfaces . . . . . . . . . . . 257--272
Igor E. Shparlinski Ratios of Small Integers in
Multiplicative Subgroups of Residue
Rings . . . . . . . . . . . . . . . . . 273--280
Casey Mann and
B. Charles Thomas Heesch Numbers of Edge-Marked Polyforms 281--294
Jay Jorgenson and
Lejla Smajlovi\'c and
Holger Then Kronecker's Limit Formula, Holomorphic
Modular Functions, and $q$-Expansions on
Certain Arithmetic Groups . . . . . . . 295--320
Curtis Bright and
Raymond Devillers and
Jeffrey Shallit Minimal Elements for the Prime Numbers 321--331
Hidenori Katsurada and
Sho Takemori Congruence Primes of the
Kim--Ramakrishnan--Shahidi Lift . . . . 332--346
B. Ali Ibrahimoglu and
Annie Cuyt Sharp Bounds for Lebesgue Constants of
Barycentric Rational Interpolation at
Equidistant Points . . . . . . . . . . . 347--354
Xavier Bressaud and
Marie-Claire Fournier Casse-Briques . . . . . . . . . . . . . 357--378
Igor Rivin Spectral Experiments+ . . . . . . . . . 379--388
Ichiro Shimada Automorphisms of Supersingular $ K3 $
Surfaces and Salem Polynomials . . . . . 389--398
Karin Katz and
Mikhail Katz and
Michael M. Schein and
Uzi Vishne Bolza Quaternion Order and Asymptotics
of Systoles Along Congruence Subgroups 399--415
P. Martín and
R. Ramírez-Ros and
A. Tamarit-Sariol Exponentially Small Asymptotic Formulas
for the Length Spectrum in Some Billiard
Tables . . . . . . . . . . . . . . . . . 416--440
Jonathan Earl and
Kevin N. Vander Meulen and
Adam Van Tuyl Independence Complexes of Well-Covered
Circulant Graphs . . . . . . . . . . . . 441--451
Maria Chiara Brambilla and
Olivia Dumitrescu and
Elisa Postinghel On the Effective Cone of Blown-up at $ n
+ 3 $ Points . . . . . . . . . . . . . . 452--465
Evgeny Fominykh and
Stavros Garoufalidis and
Matthias Goerner and
Vladimir Tarkaev and
Andrei Vesnin A Census of Tetrahedral Hyperbolic
Manifolds . . . . . . . . . . . . . . . 466--481
F. V. Weinstein Notes on Fibonacci Partitions . . . . . 482--499
Jeffrey C. Lagarias and
Harsh Mehta Products of Farey Fractions . . . . . . 1--21
Arvind Ayyer and
Anne Schilling and
Nicolas M. Thiéry Spectral Gap for Random-to-Random
Shuffling on Linear Extensions . . . . . 22--30
Serge Bouc and
Alexander Zimmermann On a Question of Rickard on Tensor
Products of Stably Equivalent Algebras 31--44
Jeffrey Stopple Lehmer Pairs Revisited . . . . . . . . . 45--53
Riikka Kangaslampi and
Alina Vdovina Hyperbolic Triangular Buildings Without
Periodic Planes of Genus $2$ . . . . . . 54--61
Jakob Ablinger Discovering and Proving Infinite
Binomial Sums Identities . . . . . . . . 62--71
Florian Pausinger An Accurate Heuristic for a Problem of
Shparlinski . . . . . . . . . . . . . . 72--76
D. J. Platt and
O. Ramaré Explicit Estimates: From $ \Lambda (n) $
in Arithmetic Progressions to $ \Lambda
(n) / n $ . . . . . . . . . . . . . . . 77--92
Ronen E. Mukamel Visualizing the Unit Ball for the
Teichmüller Metric . . . . . . . . . . . 93--97
Michael Bogner and
Stefan Reiter Some Fourth Order CY-type Operators with
Non-symplectically Rigid Monodromy . . . 98--113
Donghoon Hyeon An Outline of the Log Minimal Model
Program for the Moduli Space of Curves 114--124
David H. Bailey Jonathan Borwein: Experimental
Mathematician . . . . . . . . . . . . . 125--129
Micha\l Laso\'n and
Mateusz Micha\lek Non-Normal Very Ample Polytopes ---
Constructions and Examples . . . . . . . 130--137
Mahito Kobayashi and
Minoru Yamamoto Views of Real Projective $3$-Space by
Stable Maps into the Plane . . . . . . . 138--152
Daniel Irving Bernstein and
Seth Sullivant Normal Binary Hierarchical Models . . . 153--164
Jasper Van Hirtum On the Distribution of Frobenius of
Weight $2$ Eigenforms with Quadratic
Coefficient Field . . . . . . . . . . . 165--188
Juan García Escudero Threefolds from Solutions of a Partial
Differential Equation . . . . . . . . . 189--196
Stefano Arnone and
Corrado Falcolini and
Francesco Moauro and
Matteo Siccardi On Numbers in Different Bases:
Symmetries and a Conjecture . . . . . . 197--209
Nathan McNew The Most Frequent Values of the Largest
Prime Divisor Function . . . . . . . . . 210--224
J. Tamminen and
T. Tarvainen and
S. Siltanen The D-Bar Method for Diffuse Optical
Tomography: A Computational Study . . . 225--240
Christian Berg On a Family of Functions Studied by
Bhatia and Jain . . . . . . . . . . . . 241--246
Nikola Adzaga Automated Conjecturing of Frobenius
Numbers via Grammatical Evolution . . . 247--252
Joe Henson and
David Rideout and
Rafael D. Sorkin and
Sumati Surya Onset of the Asymptotic Regime for
(Uniformly Random) Finite Orders . . . . 253--266
Bettina Eick and
Tobias Moede Coclass Theory for Finite Nilpotent
Associative Algebras: Algorithms and a
Periodicity Conjecture . . . . . . . . . 267--274
J. M. Landsberg and
Nicholas Ryder On the Geometry of Border Rank
Algorithms for $ n \times 2 $ by $ 2
\times 2 $ Matrix Multiplication . . . . 275--286
Daeyeoul Kim and
Abdelmejid Bayad Polygon Numbers Associated with the Sum
of Odd Divisors Function . . . . . . . . 287--297
David H. Bailey and
Jonathan M. Borwein and
Richard P. Brent and
Mohsen Reisi Reproducibility in Computational
Science: A Case Study: Randomness of the
Digits of Pi . . . . . . . . . . . . . . 298--305
Reinhard E. Ganz Reply to ``Reproducibility in
Computational Science: A Case Study:
Randomness of the Digits of Pi'' [Bailey
et al. 17] . . . . . . . . . . . . . . . 306--307
John W. Lawson Minimal Mutation-Infinite Quivers . . . 308--323
Matteo Petrera and
Andreas Pfadler and
Yuri B. Suris and
Yuri N. Fedorov On the Construction of Elliptic
Solutions of Integrable Birational Maps 324--341
Michael Cuntz On Wild Frieze Patterns . . . . . . . . 342--348
David H. Bailey and
Jonathan M. Borwein and
Jason S. Kimberley and
Watson Ladd Computer Discovery and Analysis of Large
Poisson Polynomials . . . . . . . . . . 349--363
Andrew E. Silverio Reversing Palindromic Enumeration in
Rank-Two Free Groups . . . . . . . . . . 364--372
Daniel Moseley and
Nicholas Proudfoot and
Ben Young The Orlik--Terao Algebra and the
Cohomology of Configuration Space . . . 373--380
Virginie Bonnaillie-Noël and
Corentin Léna Spectral Minimal Partitions for a Family
of Tori . . . . . . . . . . . . . . . . 381--395
Michel Börner and
Irene I. Bouw and
Stefan Wewers The Functional Equation for
$L$-Functions of Hyperelliptic Curves 396--411
Jonathan M. Borwein and
Neil J. Calkin and
Scott B. Lindstrom and
Andrew Mattingly Continued Logarithms and Associated
Continued Fractions . . . . . . . . . . 412--429
Jennifer Paulhus and
Anita M. Rojas Completely Decomposable Jacobian
Varieties in New Genera . . . . . . . . 430--445
Michael Stoll Simultaneous Torsion in the Legendre
Family . . . . . . . . . . . . . . . . . 446--459
Stefan Steinerberger A Hidden Signal in the Ulam Sequence . . 460--467
William C. Abram and
Artem Bolshakov and
Jeffrey C. Lagarias Intersections of Multiplicative
Translates of $3$-Adic Cantor Sets II:
Two Infinite Families . . . . . . . . . 468--489
Amir Dzambi\'c and
Xavier Roulleau On the Cohomology of the Stover Surface 490--495
Beniamin Bogosel and
Édouard Oudet Partitions of Minimal Length on
Manifolds . . . . . . . . . . . . . . . 496--508
Anonymous Editorial Board EOV . . . . . . . . . . ??
Martin Henk A Note on Lattice Packings via Lattice
Refinements . . . . . . . . . . . . . . 1--9
Gökalp Alpan and
Alexander Goncharov and
Ahmet Nihat Simsek Asymptotic Properties of Jacobi Matrices
for a Family of Fractal Measures . . . . 10--21
Benjamin A. Burton and
Basudeb Datta and
Nitin Singh and
Jonathan Spreer A Construction Principle for Tight and
Minimal Triangulations of Manifolds . . 22--36
Tomoki Kawahira The Riemann Hypothesis and Holomorphic
Index in Complex Dynamics . . . . . . . 37--46
Peter Connor Higher Genus Doubly Periodic Minimal
Surfaces . . . . . . . . . . . . . . . . 47--61
J. S. Brauchart and
A. B. Reznikov and
E. B. Saff and
I. H. Sloan and
Y. G. Wang and
R. S. Womersley Random Point Sets on the Sphere-Hole
Radii, Covering, and Separation . . . . 62--81
D. D. Long and
M. B. Thistlethwaite Zariski Dense Surface Subgroups in $
{\rm SL}(4, \mathbb {Z}) $ . . . . . . . 82--92
M. Arnold and
T. Dauer and
M. Doucette and
S.-C. Wolf On a Very Steep Version of the Standard
Map . . . . . . . . . . . . . . . . . . 93--99
Daniel Nichols Analogues of the $ 3 x + 1 $ Problem in
Polynomial Rings of Characteristic $2$ 100--110
Shoichi Fujima and
Humio Ichimura Note on the Class Number of the $p$ th
Cyclotomic Field, II . . . . . . . . . . 111--118
P. Åhag and
R. Czyz and
P. H. Lundow A Counterexample to a Conjecture by
Blocki--Zwonek . . . . . . . . . . . . . 119--124
Jonathan W. Bober and
Ghaith A. Hiary New Computations of the Riemann Zeta
Function on the Critical Line . . . . . 125--137
A. R. Rahimipour and
A. R. Ashrafi and
A. Gholami The Existence of Minimal Logarithmic
Signatures for Some Finite Simple Groups 138--146
V. Z. Enolski and
Yu. N. Fedorov Algebraic Description of Jacobians
Isogeneous to Certain Prym Varieties
with Polarization $ (1, 2) $ . . . . . . 147--178
Michael Braun and
Patric R. J. Östergård and
Alfred Wassermann New Lower Bounds for Binary
Constant-Dimension Subspace Codes . . . 179--183
Domingo Gómez-Pérez and
Igor E. Shparlinski Arithmetic Properties of Integers in
Chains and Reflections of $g$-ary
Expansions . . . . . . . . . . . . . . . 184--192
Alexander Kolpakov and
Jun Murakami Combinatorial Decompositions,
Kirillov--Reshetikhin Invariants, and
the Volume Conjecture for Hyperbolic
Polyhedra . . . . . . . . . . . . . . . 193--207
Laurent Habsieger and
Alain Plagne A Numerical Note on Upper Bounds for $
B_2 [g] $ Sets . . . . . . . . . . . . . 208--214
Zachary Bagley and
Ray Treinen On the Classification and Asymptotic
Behavior of the Symmetric Capillary
Surfaces . . . . . . . . . . . . . . . . 215--229
Jonas Bergström and
Neil Dummigan and
Thomas Mégarbané and
Tomoyoshi Ibukiyama and
Hidenori Katsurada Eisenstein Congruences for SO(4, 3),
SO(4, 4), Spinor, and Triple Product
$L$-values . . . . . . . . . . . . . . . 230--250
Ben-Michael Kohli The Links--Gould Invariant as a
Classical Generalization of the
Alexander Polynomial? . . . . . . . . . 251--264
Philipp Lampe On the Approximate Periodicity of
Sequences Attached to
Non-Crystallographic Root Systems . . . 265--271
Thomas Purslow The Restricted Ermolaev Algebra and $
F_4 $ . . . . . . . . . . . . . . . . . 272--276
Quentin F. Gronau and
Eric-Jan Wagenmakers Bayesian Evidence Accumulation in
Experimental Mathematics: A Case Study
of Four Irrational Numbers . . . . . . . 277--286
Igor Dolgachev Salem Numbers and Enriques Surfaces . . 287--301
Shigeyuki Morita and
Takuya Sakasai and
Masaaki Suzuki An Abelian Quotient of the Symplectic
Derivation Lie Algebra of the Free Lie
Algebra . . . . . . . . . . . . . . . . 302--315
Dan Romik Differential Equations and Exact
Solutions in the Moving Sofa Problem . . 316--330
Carlos Sevcik Fractal Analysis of Pi Normality . . . . 331--343
Xavier Guitart and
Marc Masdeu Periods of Modular GL$_2$-type Abelian
Varieties and $p$-adic Integration . . . 344--361
Fabrício Caluza Machado and
Fernando Mário de Oliveira Filho Improving the Semidefinite Programming
Bound for the Kissing Number by
Exploiting Polynomial Symmetry . . . . . 362--369
D. H. Bailey and
J. M. Borwein Computation and Experimental Evaluation
of Mordell--Tornheim--Witten Sum
Derivatives . . . . . . . . . . . . . . 370--376
Thibault Manneville Fan Realizations for Some
$2$-Associahedra . . . . . . . . . . . . 377--394
M. D. Baker and
A. W. Reid Principal Congruence Links: Class Number
Greater than $1$ . . . . . . . . . . . . 395--413
Kevin G. Hare and
Nikita Sidorov A Lower Bound for the Dimension of
Bernoulli Convolutions . . . . . . . . . 414--418
Shalom Eliahou and
Jean Fromentin and
Virginie Marion-Poty and
Denis Robilliard Are Monochromatic Pythagorean Triples
Unavoidable under Morphic Colorings? . . 419--425
M. Haythorpe On the Minimum Number of Hamiltonian
Cycles in Regular Graphs . . . . . . . . 426--430
Andreas Bächle and
Allen Herman and
Alexander Konovalov and
Leo Margolis and
Gurmail Singh The Status of the Zassenhaus Conjecture
for Small Groups . . . . . . . . . . . . 431--436
Andrei K. Svinin Conjectures Involving a Generalization
of the Sums of Powers of Integers . . . 437--443
Joseph Richey and
Noah Shutty and
Matthew Stover Explicit Bounds from the Alon--Boppana
Theorem . . . . . . . . . . . . . . . . 444--453
Yuanan Diao and
Claus Ernst and
Eric J. Rawdon and
Uta Ziegler Relative Frequencies of Alternating and
Nonalternating Prime Knots and Composite
Knots in Random Knot Spaces . . . . . . 454--471
Antonin Guilloux Volume of Representations and
Birationality of Peripheral Holonomy . . 472--477
Sven-Erik Ekström and
Carlo Garoni and
Stefano Serra-Capizzano Are the Eigenvalues of Banded Symmetric
Toeplitz Matrices Known in Almost Closed
Form? . . . . . . . . . . . . . . . . . 478--487
Sujoy Mukherjee and
Józef H. Przytycki and
Marithania Silvero and
Xiao Wang and
Seung Yeop Yang Search for Torsion in Khovanov Homology 488--497
Christian Borst and
Evan Boyd and
Claire Brekken and
Samantha Solberg and
Melanie Matchett Wood and
Philip Matchett Wood Irreducibility of Random Polynomials . . 498--506
Anonymous EOV Editorial Board . . . . . . . . . . 507--507
Angelos Koutsianas Computing All Elliptic Curves Over an
Arbitrary Number Field with Prescribed
Primes of Bad Reduction . . . . . . . . 1--15
Boris Shapiro and
Milos Tater Asymptotics and Monodromy of the
Algebraic Spectrum of Quasi-Exactly
Solvable Sextic Oscillator . . . . . . . 16--23
Ilya Kapovich and
Mark C. Bell Detecting Fully Irreducible
Automorphisms: A Polynomial Time
Algorithm . . . . . . . . . . . . . . . 24--38
Reynald Lercier and
Christophe Ritzenthaler and
Florent Rovetta and
Jeroen Sijsling and
Benjamin Smith Distributions of Traces of Frobenius for
Smooth Plane Curves Over Finite Fields 39--48
Nicholas M. Katz Exponential Sums, Ree Groups and Suzuki
Groups: Conjectures . . . . . . . . . . 49--56
Neil J. Fullarton and
Richard Shadrach Observed Periodicity Related to the
Four-Strand Burau Representation . . . . 57--66
Murray Elder and
Cameron Rogers Sub-dominant Cogrowth Behavior and the
Viability of Deciding Amenability
Numerically . . . . . . . . . . . . . . 67--80
Lukas Lewark and
Duncan McCoy On Calculating the Slice Genera of $
11$- and $ 12$-Crossing Knots . . . . . 81--94
Tomoyoshi Ibukiyama and
Sho Takemori Construction of Theta Series of Any
Vector-Valued Weight and Applications to
Lifts and Congruences . . . . . . . . . 95--114
Per Alexandersson Polytopes and Large Counterexamples . . 115--120
Bjòrn Kjos-Hanssen Few Paths, Fewer Words: Model Selection
With Automatic Structure Functions . . . 121--127
S. El Otmani and
G. Rhin and
J.-M. Sac-Épée Finding New Limit Points of Mahler's
Measure by Genetic Algorithms . . . . . 129--131
Nidhi Kaihnsa and
Mario Kummer and
Daniel Plaumann and
Mahsa Sayyary Namin and
Bernd Sturmfels Sixty-Four Curves of Degree Six . . . . 132--150
Stephan Ramon Garcia and
Elvis Kahoro and
Florian Luca Primitive Root Bias for Twin Primes . . 151--160
Maria Donten-Bury and
Maksymilian Grab Crepant Resolutions of $3$-Dimensional
Quotient Singularities via Cox Rings . . 161--180
Marcin Peczarski The Worst Balanced Partially Ordered
Sets-Ladders with Broken Rungs . . . . . 181--184
Lukas Görgen and
Gerhard Hiss and
Klaus Lux The Computation of the $3$-Modular
Characters of the Fischer Group $ {\rm
Fi}_{23} $ . . . . . . . . . . . . . . . 185--193
L. Boza and
J. M. Marín and
M. P. Revuelta and
M. I. Sanz On the $n$-Color Weak Rado Numbers for
the Equation $ x_1 + x_2 + \cdots + x_k
+ c = x_{k + 1}$ . . . . . . . . . . . . 194--208
István Gaál and
László Remete Integral Bases and Monogenity of
Composite Fields . . . . . . . . . . . . 209--222
John Cullinan On the Jacobians of Curves Defined by
the Generalized Laguerre Polynomials . . 223--232
S. Holmin and
N. Jones and
P. Kurlberg and
C. McLeman and
K. Petersen Missing Class Groups and Class Number
Statistics for Imaginary Quadratic
Fields . . . . . . . . . . . . . . . . . 233--254
Jens Forsgård and
Vladimir Petrov Kostov and
Boris Shapiro Corrigendum: ``Could René Descartes have
known this?'' . . . . . . . . . . . . . 255--256
Ayse Sharland Examples of Finitely Determined
Map-Germs of Corank $3$ Supporting
Mond's $ \mu \geq \tau $-Type Conjecture 257--262
Weiru Chen and
Mo Jiao and
Calvin Kessler and
Amita Malik and
Xin Zhang Spatial Statistics of Apollonian Gaskets 263--270
Andrey Gogolev and
Itai Maimon and
Aleksey N. Kolmogorov A Numerical Study of Gibbs $u$-Measures
for Partially Hyperbolic Diffeomorphisms
on $ \mathbb {T}^3 $ . . . . . . . . . . 271--283
Eberhard Freitag and
Riccardo Salvati Manni The Göpel Variety . . . . . . . . . . . . 284--291
Bernard Mans and
Min Sha and
Igor E. Shparlinski and
Daniel Sutantyo On Functional Graphs of Quadratic
Polynomials . . . . . . . . . . . . . . 292--300
Koji Fujiwara and
Yuichi Kabaya Computing Kazhdan Constants by
Semidefinite Programming . . . . . . . . 301--312
Sergio Da Silva Strict Bott--Samelson Resolutions of
Schubert Varieties . . . . . . . . . . . 313--321
Luca Chiantini and
Christian Ikenmeyer and
J. M. Landsberg and
Giorgio Ottaviani The Geometry of Rank Decompositions of
Matrix Multiplication I: $ 2 \times 2 $
Matrices . . . . . . . . . . . . . . . . 322--327
Igor Rivin and
Naser T. Sardari Quantum Chaos on Random Cayley Graphs of
$ {\rm SL}_2 [\mathbb {Z} / p \mathbb
{Z}] $ . . . . . . . . . . . . . . . . . 328--341
Michael Harris and
Akshay Venkatesh Derived Hecke Algebra for Weight One
Forms . . . . . . . . . . . . . . . . . 342--361
V. Schastnyy and
D. Treschev On Local Integrability in Billiard
Dynamics . . . . . . . . . . . . . . . . 362--368
Robert C. Haraway III and
Stephan Tillmann Tessellating the Moduli Space of
Strictly Convex Projective Structures on
the Once-Punctured Torus . . . . . . . . 369--384
Travis Scholl Super-Isolated Elliptic Curves and
Abelian Surfaces in Cryptography . . . . 385--397
Rogério Martins The (Not So Simple!) Chain Fountain . . 398--403
Hao Chen Minimal Twin Surfaces . . . . . . . . . 404--419
Victor Dods and
Corey Shanbrom Numerical Methods and Closed Orbits in
the Kepler--Heisenberg Problem . . . . . 420--427
Andrew Bridy and
Robert J. Lemke Oliver and
Arlo Shallit and
Jeffrey Shallit The Generalized Nagell--Ljunggren
Problem: Powers with Repetitive
Representations . . . . . . . . . . . . 428--439
Hiroyuki Inou Self-Similarity for the Tricorn . . . . 440--455
Ren Yi The Triple Lattice PETs . . . . . . . . 456--474
Hans U. Boden and
Micah Chrisman and
Robin Gaudreau Virtual Knot Cobordism and Bounding the
Slice Genus . . . . . . . . . . . . . . 475--491
Frédérique Oggier and
Jean-Claude Belfiore On the Secrecy Gain of Extremal Even
$l$-modular Lattices . . . . . . . . . . 492--508
Jay Jorgenson and
Lejla Smajlovi\'c and
Holger Then On the Evaluation of Singular Invariants
for Canonical Generators of Certain
Genus One Arithmetic Groups . . . . . . 1--27
Enrique Artal Bartolo and
Beno\^\it Guerville-Ballé and
Juan Viu-Sos Fundamental Groups of Real Arrangements
and Torsion in the Lower Central Series
Quotients . . . . . . . . . . . . . . . 28--35
Kenneth Ascher and
Connor Dubé and
Daniel Gershenson and
Elaine Hou Enumerating Hassett's Wall and Chamber
Decomposition of the Moduli Space of
Weighted Stable Curves . . . . . . . . . 36--53
Bobby Shen The Kolakoski Sequence and Related
Conjectures About Orbits . . . . . . . . 54--65
Jonathan Gryak and
Robert M. Haralick and
Delaram Kahrobaei Solving the Conjugacy Decision Problem
via Machine Learning . . . . . . . . . . 66--78
Hyun Kyu Kim and
Masahito Yamazaki Comments on Exchange Graphs in Cluster
Algebras . . . . . . . . . . . . . . . . 79--100
William Worden Experimental Statistics of Veering
Triangulations . . . . . . . . . . . . . 101--122
Anonymous Correction: ``Area Difference Bounds for
Dissections of a Square into an Odd
Number of Triangles'', by Jean-Philippe
Labbé, Günter Rote and Günter M. Ziegler 123--123
Georg Grasegger and
Christoph Koutschan and
Elias Tsigaridas Lower Bounds on the Number of
Realizations of Rigid Graphs . . . . . . 125--136
Robert Coquereaux Theta Functions for Lattices of $ {\rm
SU}(3) $ Hyper-Roots . . . . . . . . . . 137--162
Paul Mercat Rauzy Fractal of the Smallest
Substitution Associated with the
Smallest Pisot Number . . . . . . . . . 163--182
Tom Coates and
Sergey Galkin and
Alexander Kasprzyk and
Andrew Strangeway Quantum Periods for Certain
Four-Dimensional Fano Manifolds . . . . 183--221
Jitendra Bajpai and
Sandip Singh and
Scott Thomson Commensurability and Arithmetic
Equivalence for Orthogonal
Hypergeometric Monodromy Groups . . . . 222--233
Shunsuke Tsuchioka BMR Freeness for Icosahedral Family . . 234--245
Jean-Paul Cardinal and
Marius Overholt A Variant of Möbius Inversion . . . . . . 247--252
Jean-Philippe Labbé and
Günter Rote and
Günter M. Ziegler Area Difference Bounds for Dissections
of a Square into an Odd Number of
Triangles . . . . . . . . . . . . . . . 253--275
P. J. Forrester and
J. R. Ipsen and
S. Kumar How Many Eigenvalues of a Product of
Truncated Orthogonal Matrices are Real? 276--290
James East Transformation Representations of
Sandwich Semigroups . . . . . . . . . . 291--295
A. S. Detinko and
D. L. Flannery and
A. Hulpke Algorithms for Experimenting with
Zariski Dense Subgroups . . . . . . . . 296--305
David Eppstein and
Sariel Har-Peled and
Gabriel Nivasch Grid Peeling and the Affine
Curve-Shortening Flow . . . . . . . . . 306--316
Bernhard Heim and
Markus Neuhauser and
Florian Rupp Imaginary Powers of the Dedekind Eta
Function . . . . . . . . . . . . . . . . 317--325
Simon M. Goodwin and
Peter Mosch and
Gerhard Röhrle The Modality of a Borel Subgroup in a
Simple Algebraic Group of Type $ E_8 $ 326--327
Joel Brewster Lewis and
Alejandro H. Morales Rook Theory of the Finite General Linear
Group . . . . . . . . . . . . . . . . . 328--346
Matthew Kahle and
Frank H. Lutz and
Andrew Newman and
Kyle Parsons Cohen--Lenstra Heuristics for Torsion in
Homology of Random Complexes . . . . . . 347--359
Anonymous Correction: Some Singular Curves and
Surfaces Arising from Invariants of
Complex Reflection Groups . . . . . . . 360--360
John Lombard Honey from the Hives: A Theoretical and
Computational Exploration of
Combinatorial Hives . . . . . . . . . . 361--382
Ian C. Marschner Random Ordering of Semiprimes . . . . . 383--397
Juliette Bruce and
Daniel Erman and
Steve Goldstein and
Jay Yang Conjectures and Computations about
Veronese Syzygies . . . . . . . . . . . 398--413
K. Chum and
R. K. Guy and
M. J. Jacobson, Jr. and
A. S. Mosunov Numerical and Statistical Analysis of
Aliquot Sequences . . . . . . . . . . . 414--425
Michael Joswig and
Robert Löwe and
Boris Springborn Secondary Fans and Secondary Polyhedra
of Punctured Riemann Surfaces . . . . . 426--442
Gaven Martin and
Graeme O'Brien and
Yasushi Yamashita Random Kleinian Groups, II Two Parabolic
Generators . . . . . . . . . . . . . . . 443--451
André Voros Discretized Keiper/Li Approach to the
Riemann Hypothesis . . . . . . . . . . . 452--469
Yuta Kogoshi and
Takayuki Morisawa On the Class Numbers in the Cyclotomic $
\mathbb {Z}_{29} $ and $ \mathbb
{Z}_{31} $-Extensions of the Field of
Rationals . . . . . . . . . . . . . . . 470--474
Andrew Lobb and
Patrick Orson and
Dirk Schütz Khovanov Homotopy Calculations using
Flow Category Calculus . . . . . . . . . 475--500
Piotr Pokora and
Joaquim Roé The 21 Reducible Polars of Klein's
Quartic . . . . . . . . . . . . . . . . 1--18
Ronen E. Mukamel Polynomials Defining Teichmüller Curves
and Their Factorizations $ \bmod p $ . . 19--31
Daniel Delbourgo and
Hamish Gilmore Computing $L$-Invariants for the
Symmetric Square of an Elliptic Curve 32--55
Hans-Christian Herbig and
Daniel Herden and
Christopher Seaton The Laurent Coefficients of the Hilbert
Series of a Gorenstein Algebra . . . . . 56--75
O. Shanker Good-to-Bad Gram Point Ratio for Riemann
Zeta Function . . . . . . . . . . . . . 76--85
Maciej Boche\'nski and
Piotr Jastrz\kebski and
Anna Szczepkowska and
Aleksy Tralle and
Artur Woike Semisimple subalgebras in simple Lie
algebras and a computational approach to
the compact Clifford--Klein forms
problem . . . . . . . . . . . . . . . . 86--94
Alexander Konovalov and
Agata Smoktunowicz and
Leandro Vendramin On skew braces and their ideals . . . . 95--104
Sòren Haagerup and
Uffe Haagerup and
Maria Ramirez-Solano Computational Explorations of the
Thompson Group $T$ for the Amenability
Problem of $F$ . . . . . . . . . . . . . 105--126
István Gaál and
Maximilian C. Pohst and
Michael E. Pohst On computing integral points of a
Mordell curve --- the method of
Wildanger revisited . . . . . . . . . . 127--134
Aaron Robertson and
William Cipolli and
Maria Dascalu On the Distribution of Monochromatic
Complete Subgraphs and Arithmetic
Progressions . . . . . . . . . . . . . . 135--145
Anthony J. Bracken Solutions of Painlevé II on Real
Intervals: Novel Approximating Sequences 147--156
Hironobu Naoe Corks with Large Shadow-Complexity and
Exotic Four-Manifolds . . . . . . . . . 157--171
Jeffrey Diller and
Kyounghee Kim Entropy of Real Rational Surface
Automorphisms . . . . . . . . . . . . . 172--190
Célestin Wafo Soh An Evolutionary Approach to the
Automatic Classification of
Automorphisms of Lower-Dimensional Lie
Algebras . . . . . . . . . . . . . . . . 191--199
Stefano Barbero and
Umberto Cerruti and
Nadir Murru Approximations of Algebraic
Irrationalities with Matrices . . . . . 200--208
Todd Cochrane and
Michael J. Mossinghoff and
Chris Pinner and
C. J. Richardson A Generalization of the Goresky--Klapper
Conjecture, Part II . . . . . . . . . . 209--220
Michael Lipnowski On Bhargava's Heuristics for $ {\rm
GL}_2 (\mathbb {F}_p) $-Number Fields
and the Number of Elliptic Curves of
Bounded Conductor . . . . . . . . . . . 221--234
C. Eugene Wayne and
Vadim Zharnitsky Critical Points of Strichartz Functional 235--257
Joshua Kiers On the Saturation Conjecture for Spin($
2 n$) . . . . . . . . . . . . . . . . . 258--267
Emilio A. Lauret A Computational Study on Lens Spaces
Isospectral on Forms . . . . . . . . . . 268--282
Alexander Cloninger and
Stefan Steinerberger On the Dual Geometry of Laplacian
Eigenfunctions . . . . . . . . . . . . . 283--293
Christopher Birkbeck Slopes of Overconvergent Hilbert Modular
Forms . . . . . . . . . . . . . . . . . 295--314
Kyu-Hwan Lee and
Kyungyong Lee A Correspondence between Rigid Modules
Over Path Algebras and Simple Curves on
Riemann Surfaces . . . . . . . . . . . . 315--331
Benjamin Braun and
Fu Liu $ h^\star $-Polynomials with Roots on
the Unit Circle . . . . . . . . . . . . 332--348
Christoph Lamm The Search for Nonsymmetric Ribbon Knots 349--363
Mircea Merca Truncated Theta Series and
Rogers--Ramanujan Functions . . . . . . 364--371
Noga Alon and
Sebastian M. Cioaba and
Brandon D. Gilbert and
Jack H. Koolen and
Brendan D. McKay Addressing Johnson Graphs, Complete
Multipartite Graphs, Odd Cycles, and
Random Graphs . . . . . . . . . . . . . 372--382
Austin Conner A Rank 18 Waring Decomposition of $ s
M_{\langle 3 \rangle } $ with 432
Symmetries . . . . . . . . . . . . . . . 383--385
Zhuang He Blow-Ups of Toric Surfaces and the Mori
Dream Space Property . . . . . . . . . . 386--404
Zhaodong Cai and
Matthew Faust and
A. J. Hildebrand and
Junxian Li and
Yuan Zhang Leading Digits of Mersenne Numbers . . . 405--421
Nicholas M. Katz On a Question of Zannier . . . . . . . . 422--428
Cédric Bonnafé Some Singular Curves and Surfaces
Arising from Invariants of Complex
Reflection Groups . . . . . . . . . . . 429--440
Ali Reza Rahimipour Exact Factorizations of Sporadic Simple
Groups . . . . . . . . . . . . . . . . . 441--446
J. B. Conrey and
M. A. Holmstrom Smooth Values of Quadratic Polynomials 447--452
Antonin Guilloux and
Inkang Kim Deformation Spaces of Discrete Groups of
$ {\rm SU}(2, 1) $ in Quaternionic
Hyperbolic Plane: a Case Study . . . . . 453--458
Leonid A. Bunimovich and
Giulio Casati and
Tomaz Prosen and
Gregor Vidmar Few Islands Approximation of Hamiltonian
System with divided Phase Space . . . . 459--468
Misha Bialy and
Andrey E. Mironov and
Lior Shalom Outer Billiards with the Dynamics of a
Standard Shift on a Finite Number of
Invariant Curves . . . . . . . . . . . . 469--474
Christian Bopp and
Frank-Olaf Schreyer A Version of Green's Conjecture in
Positive Characteristic . . . . . . . . 475--480
Patrick Chisan Hew Collatz on the Dyadic Rationals in $
[0.5, 1) $ with Fractals: How Bit
Strings Change Their Length Under $ 3 x
+ 1 $ . . . . . . . . . . . . . . . . . 481--488
Giles Gardam Profinite Rigidity in the SnapPea Census 489--498
Paul E. Gunnells and
Mark McConnell and
Dan Yasaki On the Cohomology of Congruence
Subgroups of GL$_3$ over the Eisenstein
Integers . . . . . . . . . . . . . . . . 499--512
Cyrille Chenavier and
Christophe Cordero and
Samuele Giraudo Quotients of the Magmatic Operad:
Lattice Structures and Convergent
Rewrite Systems . . . . . . . . . . . . 513--530
Charles Fougeron Parabolic Degrees and Lyapunov Exponents
for Hypergeometric Local Systems . . . . 531--546
Mark Brittenham and
Susan Hermiller A Counterexample to the Bernhard--Jablan
Unknotting Conjecture . . . . . . . . . 547--556
Neil Dummigan and
Sebastian Schönnenbeck Automorphic Forms on Feit's Hermitian
Lattices . . . . . . . . . . . . . . . . 557--574
Alex Kontorovich and
Jeffrey Lagarias On Toric Orbits in the Affine Sieve . . 575--586
Yakov Berchenko-Kogan The Entropy of the Angenent Torus is
Approximately 1.85122 . . . . . . . . . 587--594
Milos Stojakovi\'c and
Nikola Trkulja Hamiltonian Maker-Breaker Games on Small
Graphs . . . . . . . . . . . . . . . . . 595--604
Gábor Domokos and
Zsolt Lángi and
András A. Sipos Tracking Critical Points on Evolving
Curves and Surfaces . . . . . . . . . . 1--20
Chuanming Zong A Computer Approach to Determine the
Densest Translative Tetrahedron Packings 21--41
Björn Winckler The Lorenz Renormalization Conjecture 42--57
Pascal Hubert and
Olga Paris-Romaskevich Triangle Tiling Billiards and the
Exceptional Family of their Escaping
Trajectories: Circumcenters and Rauzy
Gasket . . . . . . . . . . . . . . . . . 58--87
Philippe Blanc A New Reason for Doubting the Riemann
Hypothesis . . . . . . . . . . . . . . . 88--92
Sami Assaf and
Dominic Searles Kohnert Polynomials . . . . . . . . . . 93--119
Cristina Bertone and
Francesca Cioffi and
Margherita Roggero Smoothable Gorenstein Points Via Marked
Schemes and Double-generic Initial
Ideals . . . . . . . . . . . . . . . . . 120--137
Raymond van Bommel Numerical Verification of the Birch and
Swinnerton-Dyer Conjecture for
Hyperelliptic Curves of Higher Genus
over $Q$ up to Squares . . . . . . . . . 138--145
Gavin Brown and
Alexander M. Kasprzyk and
Lei Zhu Gorenstein Formats, Canonical and
Calabi--Yau Threefolds . . . . . . . . . 146--164
Taiyo Inoue Exploring the List of Smallest
Right-Angled Hyperbolic Polyhedra . . . 165--183
Robert M. Corless and
Leili Rafiee Sevyeri Stirling's Original Asymptotic Series
from a Formula Like One of Binet's and
its Evaluation by Sequence Acceleration 184--191
Diogo Oliveira e Silva and
Christoph Thiele and
Pavel Zorin-Kranich Band-Limited Maximizers for a Fourier
Extension Inequality on the Circle . . . 192--198
Jesse Hamer and
Tetsuya Ito and
Keiko Kawamuro Positivities of Knots and Links and the
Defect of Bennequin Inequality . . . . . 199--225
Kimball Martin Refined Goldbach Conjectures with Primes
in Progressions . . . . . . . . . . . . 226--232
Pieter Belmans and
Sergey Galkin and
Swarnava Mukhopadhyay Examples Violating Golyshev's Canonical
Strip Hypotheses . . . . . . . . . . . . 233--237
Piotr Miska and
Maciej Ulas On Consecutive 1's in Continued
Fractions Expansions of Square Roots of
Prime Numbers . . . . . . . . . . . . . 238--251
Tomasz Downarowicz and
Dawid Huczek Empirical Approach to the $ \times $2, $
\times $3 Conjecture . . . . . . . . . . 252--268
Yukun Yao and
Doron Zeilberger Numerical and Symbolic Studies of the
Peaceable Queens Problem . . . . . . . . 269--279
Markus Kirschmer and
Gabriele Nebe Binary Hermitian Lattices over Number
Fields . . . . . . . . . . . . . . . . . 280--301
Avner Ash and
Robert Gross Lattice-Packing by Spheres and Eutactic
Forms . . . . . . . . . . . . . . . . . 302--308
Jakob Ablinger Discovering and Proving Infinite
Pochhammer Sum Identities . . . . . . . 309--323
Ghaith Hiary and
Joseph Vandehey Calculations of the Invariant Measure
for Hurwitz Continued Fractions . . . . 324--336
Anna Belova and
Igors Gorbovickis Critical Points of the Multiplier Map
for the Quadratic Family . . . . . . . . 337--345
A. Konovalov and
A. Smoktunowicz and
L. Vendramin Erratum to the Paper ``On Skew Braces
and Their Ideals'' . . . . . . . . . . . 346--346
Alex Kontorovich Foreword to: Special Issue on
Interactive Theorem Provers . . . . . . 347--348
Peter Scholze Liquid Tensor Experiment . . . . . . . . 349--354
Kevin Buzzard and
Chris Hughes and
Kenny Lau and
Amelia Livingston and
Ramon Fernández Mir and
Scott Morrison Schemes in Lean . . . . . . . . . . . . 355--363
Anthony Bordg and
Lawrence Paulson and
Wenda Li Simple Type Theory is not too Simple:
Grothendieck's Schemes Without Dependent
Types . . . . . . . . . . . . . . . . . 364--382
Mirna Dzamonja and
Angeliki Koutsoukou-Argyraki and
Lawrence C. Paulson Formalizing Ordinal Partition Relations
Using Isabelle/HOL . . . . . . . . . . . 383--400
Angeliki Koutsoukou-Argyraki and
Wenda Li and
Lawrence C. Paulson Irrationality and Transcendence Criteria
for Infinite Series in Isabelle/HOL . . 401--412
Thomas Browning and
Patrick Lutz Formalizing Galois Theory . . . . . . . 413--424
Martino Garonzi and
Luise-Charlotte Kappe and
Eric Swartz On Integers that are Covering Numbers of
Groups . . . . . . . . . . . . . . . . . 425--443
Sam Tertooy The Reidemeister Spectra of Low
Dimensional Almost-Crystallographic
Groups . . . . . . . . . . . . . . . . . 444--455
Philipp Birklbauer The Fuglede Conjecture Holds in $
\mathbb {Z}^3_5 $ . . . . . . . . . . . 456--460
Francisco Criado and
Francisco Santos Topological Prismatoids and Small
Simplicial Spheres of Large Diameter . . 461--473
Dustin G. Mixon and
Hans Parshall The Optimal Packing of Eight Points in
the Real Projective Plane . . . . . . . 474--485
Oleg Ogievetsky and
Senya Shlosman Extremal Cylinder Configurations II:
Configuration $ O_6 $ . . . . . . . . . 486--496
Michael Gekhtman and
Tomoki Nakanishi Asymptotic Sign Coherence Conjecture . . 497--505
Ethan Cotterill and
Cristhian Garay López Real Inflection Points of Real Linear
Series on an Elliptic Curve . . . . . . 506--517
Harris B. Daniels and
Enrique González-Jiménez Serre's Constant of Elliptic Curves Over
the Rationals . . . . . . . . . . . . . 518--536
Esamaldeen Mohamed and
Gerald Williams An Investigation Into the Cyclically
Presented Groups with Length Three
Positive Relators . . . . . . . . . . . 537--551
Harrison Chapman and
Andrew Rechnitzer A Markov Chain Sampler for Plane Curves 552--582
David Cushing and
Riikka Kangaslampi and
Valtteri Lipiäinen and
Shiping Liu and
George W. Stagg The Graph Curvature Calculator and the
Curvatures of Cubic Graphs . . . . . . . 583--595
Carl Pomerance and
Simon Rubinstein-Salzedo Cyclotomic Coincidences . . . . . . . . 596--605
Mircea Merca On Two Truncated Quintuple Series
Theorems . . . . . . . . . . . . . . . . 606--610
Rüdiger Achilles and
Mirella Manaresi Generalized Samuel Multiplicities of
Monomial Ideals and Volumes . . . . . . 611--620
Erwan Lanneau and
Martin Möller Non-Existence and Finiteness Results for
Teichmüller Curves in Prym Loci . . . . . 621--636
Andrea Bandini and
Maria Valentino On the Structure and Slopes of Drinfeld
Cusp Forms . . . . . . . . . . . . . . . 637--651
Sophie Morier-Genoud and
Valentin Ovsienko On $q$-Deformed Real Numbers . . . . . . 652--660
Richard Evan Schwartz Four Lines and a Rectangle . . . . . . . 661--668
Aleksandra Kosti\'c and
Nela Milosevi\'c and
Zoran Z. Petrovi\'c Note on the Cyclotomic Polynomial
Topologically . . . . . . . . . . . . . 669--675
Sofiane Bouarroudj and
Dimitry Leites and
Jin Shang Computer-Aided Study of Double
Extensions of Restricted Lie
Superalgebras Preserving the
Nondegenerate Closed 2-Forms in
Characteristic 2 . . . . . . . . . . . . 676--688
Quinn Greicius and
Aaron Landesman An Explicit Abelian Surface with Maximal
Galois Action . . . . . . . . . . . . . 689--693
Kevin G. Hare and
Philip W. Hodges Applications of Integer Semi-Infinite
Programing to the Integer Chebyshev
Problem . . . . . . . . . . . . . . . . 694--700
R. Buring and
A. V. Kiselev The Expansion $ \star \bmod \bar
{o}(\hbar^4) $ and Computer-Assisted
Proof Schemes in the Kontsevich
Deformation Quantization . . . . . . . . 701--754
Adam Abrams Finite Partitions for Several Complex
Continued Fraction Algorithms . . . . . 755--772
Anton Mellit Rationality Proofs by Curve Counting . . 773--782
Gábor Domokos and
Zsolt Lángi On Some Average Properties of Convex
Mosaics . . . . . . . . . . . . . . . . 783--793
Nicholas Brubaker and
Thomas Murphy and
K. Oskar Negron Numerically Destabilizing Minimal Discs 794--805
Yann Bugeaud and
Andrej Dujella and
Wenjie Fang and
Tomislav Pejkovi\'c and
Bruno Salvy Absolute Root Separation . . . . . . . . 806--813
Matthew de Courcy-Ireland and
Seungjae Lee Experiments with the Markoff Surface . . 814--829
Stefano Capparelli and
Alberto Del Fra and
Andrea Vietri Searching for Hyperbolic Polynomials
with Span Less than 4 . . . . . . . . . 830--842
Joseph Malkoun Weights, Weyl-Equivariant Maps and a
Rank Conjecture . . . . . . . . . . . . 843--846
Jayadev S. Athreya and
David Aulicino and
W. Patrick Hooper and
with an appendix by Anja Randecker Platonic Solids and High Genus Covers of
Lattice Surfaces . . . . . . . . . . . . 847--877
Ernest X. W. Xia and
Alice X. H. Zhao Generalizations of Hirschhorn's Results
on Two Remarkable $q$-Series Expansions 878--882
Yongquan Zhang Construction of Acylindrical Hyperbolic
3-Manifolds with Quasifuchsian Boundary 883--896
Jonathan Spreer and
Stephan Tillmann Determining the Trisection Genus of
Orientable and Non-Orientable PL
4-Manifolds through Triangulations . . . 897--907
Momonari Kudo and
Shushi Harashita Superspecial Trigonal Curves of Genus 5 908--919
Tim Hoffmann and
Zi Ye A Discrete Extrinsic and Intrinsic Dirac
Operator . . . . . . . . . . . . . . . . 920--935
Amit Harlev and
Charles R. Johnson and
Derek Lim The Doubly Stochastic Single Eigenvalue
Problem: a Computational Approach . . . 936--945
Sam Hopkins Minuscule Doppelgängers, The Coincidental
down-Degree Expectations Property, and
Rowmotion . . . . . . . . . . . . . . . 946--974
Jonathan D. Hauenstein and
Martin Helmer Probabilistic Saturations and Alt's
Problem . . . . . . . . . . . . . . . . 975--987
Ryan Budney and
Benjamin A. Burton Embeddings of 3-Manifolds in $ S^4 $
from the Point of View of the
11-Tetrahedron Census . . . . . . . . . 988--1013
Robert S. Strichartz and
Samuel C. Wiese Spectral Properties of Laplacians on
Snowflake Domains and Filled Julia Sets 1014--1025
Sze-Man Ngai and
Wei Tang and
Anh Tran and
Shuai Yuan Orthogonal Polynomials Defined by
Self-Similar Measures with Overlaps . . 1026--1038
Sujoy Mukherjee On Odd Torsion in Even Khovanov Homology 1039--1045
David Bachman and
Matthias Goerner and
Saul Schleimer and
Henry Segerman Cohomology fractals, Cannon--Thurston
maps, and the geodesic flow . . . . . . 1047--1085
Richard Evan Schwartz The Farthest Point Map on the Regular
Octahedron . . . . . . . . . . . . . . . 1086--1097
Edmund Harriss and
Katherine E. Stange and
Steve Trettel Algebraic Number Starscapes . . . . . . 1098--1149
Matei P. Coiculescu An Interpolation From Sol to Hyperbolic
Space . . . . . . . . . . . . . . . . . 1150--1176
Eryk Kopczy\'nski and
Dorota Celi\'nska-Kopczy\'nska Real-Time Visualization in Anisotropic
Geometries . . . . . . . . . . . . . . . 1177--1196
Rémi Coulon and
Elisabetta A. Matsumoto and
Henry Segerman and
Steve J. Trettel Ray-Marching Thurston Geometries . . . . 1197--1277
Lassina Dembélé and
Alexei Panchishkin and
John Voight and
Wadim Zudilin Special Hypergeometric Motives and Their
$L$-Functions: Asai Recognition . . . . 1278--1290
Jaeyoon Kim Prime Running Functions . . . . . . . . 1291--1313
Sunrose T. Shrestha and
Jane Wang Statistics of Square-Tiled Surfaces:
Symmetry and Short Loops . . . . . . . . 1314--1331
Heiko Dietrich and
Primoz Moravec On Two Group Functors Extending Schur
Multipliers . . . . . . . . . . . . . . 1332--1344
Claudia He Yun The $ S_n $-Equivariant Rational
Homology of the Tropical Moduli Spaces $
\Delta_{2, n} $ . . . . . . . . . . . . 1345--1357
Dennis Tseng Divisors on the Moduli Space of Curves
From Divisorial Conditions On
Hypersurfaces . . . . . . . . . . . . . 1358--1369
Ralf Fröberg Hilbert Series of Generic Ideals in
Products of Projective Spaces . . . . . 1370--1372
Thomas D. Eddy and
Clayton Shonkwiler New Stick Number Bounds from Random
Sampling of Confined Polygons . . . . . 1373--1395
Alexander Nabutovsky and
Fabian Parsch Geodesic Nets: Some Examples and Open
Problems . . . . . . . . . . . . . . . . 1--25
Radel Ben Av and
Giora Dula and
Assaf Goldberger and
Yossi Strassler Frame Potential in CP$^n$ Some Numerical
and Analytical Results . . . . . . . . . 26--32
Ryan C. Chen and
Yujin H. Kim and
Jared D. Lichtman and
Steven J. Miller and
Alina Shubina and
Shannon Sweitzer and
Ezra Waxman and
Eric Winsor and
Jianing Yang A Refined Conjecture for the Variance of
Gaussian Primes across Sectors . . . . . 33--53
Antonio Behn and
Anita M. Rojas and
Miguel Tello-Carrera A SAGE Package for $n$-Gonal
Equisymmetric Stratification of $
\mathcal {M}_g $ . . . . . . . . . . . . 54--69
Enrique González-Jiménez and
Filip Najman An Algorithm for Determining Torsion
Growth of Elliptic Curves . . . . . . . 70--81
Alexander Berkovich and
Ali Kemal Uncu Where Do the Maximum Absolute $q$-Series
Coefficients of $ (1 - q) (1 - q^2) (1 -
q^3) \cdots (1 - q^{n - 1}) (1 - q^n)$
Occur? . . . . . . . . . . . . . . . . . 82--87
A. S. Detinko and
D. L. Flannery and
A. Hulpke Experimenting with Symplectic
Hypergeometric Monodromy Groups . . . . 88--96
Anders Claesson and
Bjarki Ágúst Gu\ethmundsson and
Jay Pantone Counting Pop-Stacked Permutations in
Polynomial Time . . . . . . . . . . . . 97--104
Chantal David and
Matilde Lalín and
Jungbae Nam Conjectures for Moments Associated With
Cubic Twists of Elliptic Curves . . . . 105--132
James Williams Powerfully Nilpotent Groups of Class 2 133--139
Jason Semeraro A 2-Compact Group as a Spets . . . . . . 140--155
Ion Nechita and
Simon Schmidt and
Moritz Weber Sinkhorn Algorithm for Quantum
Permutation Groups . . . . . . . . . . . 156--168
Hülya Argüz and
Thomas Prince On the Cohomology Groups of Real
Lagrangians in Calabi--Yau Threefolds 169--190
Colin Ingalls and
Bruce W. Jordan and
Allan Keeton and
Adam Logan and
Yevgeny Zaytman Quotient Graphs and Amalgam
Presentations for Unitary Groups Over
Cyclotomic Rings . . . . . . . . . . . . 191--217
Davide Lombardo and
Elisa Lorenzo García and
Christophe Ritzenthaler and
Jeroen Sijsling Decomposing Jacobians Via Galois covers 218--240
Sarah Arpin and
Catalina Camacho-Navarro and
Kristin Lauter and
Joelle Lim and
Kristina Nelson and
Travis Scholl and
Jana Sotáková Adventures in Supersingularland . . . . 241--268
John G. Ratcliffe and
Steven T. Tschantz Hyperbolic 24-Cell 4-Manifolds With One
Cusp . . . . . . . . . . . . . . . . . . 269--279
James Barker and
Christoph Thiele and
Pavel Zorin-Kranich Band-Limited Maximizers for a Fourier
Extension Inequality on the Circle, II 280--293
Lucien Hennecart Asymptotic Behavior of Kac Polynomials 294--312
Destine Lee and
Iris Rosenblum-Sellers and
Jakwanul Safin and
Anda Tenie Graph Coverings and (Im)primitive
Homology: Examples of Low Degree . . . . 313--320
Hang Liu and
Qin Hourong Mahler Measure of Families of
Polynomials Defining Genus 2 and 3
Curves . . . . . . . . . . . . . . . . . 321--336
Xander Faber and
Jon Grantham Ternary and Quaternary Curves of Small
Fixed Genus and Gonality With Many
Rational Points . . . . . . . . . . . . 337--349
Jonad Pulaj Characterizing 3-Sets in Union-Closed
Families . . . . . . . . . . . . . . . . 350--361
Youness Lamzouri and
Alessandro Languasco Small Values of $ |L' / L(1, \chi)| $ 362--377
Andrew Granville and
Allysa Lumley Primes in Short Intervals: Heuristics
and Calculations . . . . . . . . . . . . 378--404
Stefano Silvestri and
Rodrigo A. Pérez Accessibility of the Boundary of the
Thurston Set . . . . . . . . . . . . . . 405--422
Cheolgyu Lee A Construction of Multiplicity Class of
Hypersurfaces From Hesselink
Stratification of a Hilbert Scheme . . . 423--430
Megumi Asada and
Ryan C. Chen and
Eva Fourakis and
Yujin Hong Kim and
Andrew Kwon and
Jared Duker Lichtman and
Blake Mackall and
Steven J. Miller and
Eric Winsor and
Karl Winsor and
Jianing Yang and
Kevin Yang Lower-Order Biases in the Second Moment
of Dirichlet Coefficients in Families of
$L$-Functions . . . . . . . . . . . . . 431--456
Vladimir A. Shlyk Number of Vertices of the Polytope of
Integer Partitions and Factorization of
the Partitioned Number . . . . . . . . . 457--466
Shanza Ayub and
Jacopo De Simoi Numerical Evidence of Robust Dynamical
Spectral Rigidity of Ellipses Among
Smooth $ \mathbb {Z}_2 $-Symmetric
Domains . . . . . . . . . . . . . . . . 467--476
Eric Evert and
Yi Fu and
J. William Helton and
John Yin Empirical Properties of Optima in Free
Semidefinite Programs . . . . . . . . . 477--501
Gerald Höhn and
Geoffrey Mason Most Vertex Superalgebras Associated to
an Odd Unimodular Lattice of Rank 24
Have an $ N = 4 $ Superconformal
Structure . . . . . . . . . . . . . . . 502--504
Christian Berg and
Henrik L. Pedersen A Family of Horn--Bernstein Functions 505--513
A. W. Reid and
N. Rouse Infinitely Many Knots With NonIntegral
Trace . . . . . . . . . . . . . . . . . 514--526
Joshua Coyston and
James McKee Small Mahler Measures From Digraphs . . 527--539
Taylor Dupuy and
Kiran Kedlaya and
David Roe and
Christelle Vincent Counterexamples to a Conjecture of
Ahmadi and Shparlinski . . . . . . . . . 540--544
Matteo Costantini and
Martin Möller and
Jonathan Zachhuber \pkgdiffstrata --- a Sage Package for
Calculations in the Tautological Ring of
the Moduli Space of Abelian
Differentials . . . . . . . . . . . . . 545--565
Anonymous Correction: [The Search for Nonsymmetric
Ribbon Knots] . . . . . . . . . . . . . 566--566
Stefan Steinerberger Free Convolution Powers Via Roots of
Polynomials . . . . . . . . . . . . . . 567--572
Jeremy Hoskins and
Zakhar Kabluchko Dynamics of Zeroes Under Repeated
Differentiation . . . . . . . . . . . . 573--599
Chris Anderson and
Kenneth L. Baker and
Xinghua Gao and
Marc Kegel and
Khanh Le and
Kyle Miller and
Sinem Onaran and
Geoffrey Sangston and
Samuel Tripp and
Adam Wood and
Ana Wright $L$-space knots with tunnel number $ > 1$
by experiment . . . . . . . . . . . . . 600--614
David Boozer Computer Bounds for Kronheimer--Mrowka
Foam Evaluation . . . . . . . . . . . . 615--630
Christopher H. Cashen and
Charlotte Hoffmann Short, Highly Imprimitive Words Yield
Hyperbolic One-Relator Groups . . . . . 631--640
Ofir Gorodetsky New Representations for all Sporadic
Apéry-Like Sequences, With Applications
to Congruences . . . . . . . . . . . . . 641--656
Barry Mazur and
Karl Rubin Arithmetic Conjectures Suggested by the
Statistical Behavior of Modular Symbols 657--672
Dragan Stankov The Reciprocal Algebraic Integers Having
Small House . . . . . . . . . . . . . . 673--682
Mark C. Bell Experimental Statistics for Mirzakhani's
Theorem . . . . . . . . . . . . . . . . 683--691
Justin Chen and
Papri Dey The $ 4 \times 4 $ Orthostochastic
Variety . . . . . . . . . . . . . . . . 692--700
Raphaël V. Alexandre Redundancy of Triangle Groups in
Spherical CR Representations . . . . . . 701--721
Mason A. Porter and
Norman J. Zabusky and
Bambi Hu and
David K. Campbell Fermi, Pasta, Ulam and the Birth of
Experimental Mathematics: a numerical
experiment that Enrico Fermi, John
Pasta, and Stanis\law Ulam reported 54
years ago continues to inspire discovery 214--221