Experimental Mathematics

Volume 9 (2000)

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Volume 9, issue 1

Letter to the Reader
The Editors
Full text (Postscript)

On the Representations of xy + yz + zx
Jonathan Borwein
Kwok-Kwong Stephen Choi
Abstract in Postscript or DVI
Full text (Postscript)

On the Volume of a Certain Polytope
Clara S. Chan
David P. Robbins
David S. Yuen
Abstract in Postscript or DVI
Full text (Postscript)

Convergence Acceleration of Alternating Series
Henri Cohen
Fernando Rodriguez Villegas
Don Zagier
Abstract in Postscript or DVI
Full text (Postscript)

Visualizing Elements in the Shafarevich-Tate Group
John E. Cremona
Barry Mazur
Abstract in Postscript or DVI
Full text (Postscript)

Periodic Automorphisms of Surfaces: Invariant Circles and Maximal Orders
Hansjörg Geiges
Diego Rattaggi
Abstract in Postscript or DVI
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Numerical Calculation of Twisted Adjoint L-Values Attached to Modular Forms
Yoshio Hiraoka
Abstract in Postscript or DVI
Full text (Postscript)

Computing Arithmetic Invariants of 3-Manifolds
David Coulson
Oliver A. Goodman
Craig D. Hodgson
Walter D. Neumann
Abstract in Postscript or DVI
Full text (Postscript)

A Chaotic Cousin of Conway’s Recursive Sequence
Klaus Pinn
Abstract in Postscript or DVI
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The Volume Spectrum of Hyperbolic 4-Manifolds
John G. Ratcliffe
Steven T. Tschantz
Abstract in Postscript or DVI
Full text (Postscript)

On Some Elliptic Curves with Large Sha
Harvey E. Rose
Abstract in Postscript or DVI
Full text (Postscript)

A Family of Cubic Rational Maps and Matings of Cubic Polynomials
Mitsuhiro Shishikura
Tan Lei
Abstract in Postscript or DVI
Full text (Postscript)

Volume 9, issue 2

Simplicial Manifolds, Bistellar Flips and a 16-Vertex Triangulation of the Poincaré Homology 3-Sphere
Anders Björner
Frank H. Lutz
Abstract in Postscript or DVI
Full text (Postscript)

Scaling in a Map of the Two-Torus
Keith M. Briggs
Gonzalo Álvarez
Abstract in Postscript or DVI
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An Implementation of the Bestvina-Handel Algorithm for Surface Homeomorphisms
Peter Brinkmann
Abstract in Postscript or DVI
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Frequency Locking on the Boundary of the Barycentre Set
Oliver Jenkinson
Abstract in Postscript or DVI
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Markov Operators on the Solvable Baumslag-Solitar Groups
Florian Martin
Alain Valette
Abstract in Postscript or DVI
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The Regular Projective Solution Space of the Figure-Eight Knot Complement
Saburo Matsumoto
Richard Rannard
Abstract in Postscript or DVI
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Conjecturally Optimal Coverings of an Equilateral Triangle with Up to 36 Equal Circles
Kari J. Nurmela
Abstract in Postscript or DVI
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Stark’s Conjectures and Hilbert’s Twelfth Problem
Xavier-François Roblot
Abstract in Postscript or DVI
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Embedded, Doubly Periodic Minimal Surfaces
Wayne Rossman
Edward C. Thayer
Meinhard Wohlgemuth
Abstract in Postscript or DVI
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Real Schubert Calculus: Polynomial Systems and a Conjecture of Shapiro and Shapiro
Frank Sottile
Abstract in Postscript or DVI
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Complementary material

The Kazhdan Property of the Mapping Class Group of Closed Surfaces and the First Cohomology Group of Its Cofinite Subgroups
Feraydoun Taherkhani
Abstract in Postscript or DVI
Full text (Postscript)

Numerical Evidence for a Conjecture in Real Algebraic Geometry
Jan Verschelde
Abstract in Postscript or DVI
Full text (Postscript)

Volume 9, issue 3

Conjugacy Classes of the Hyperelliptic Mapping Class Group of Genus 2 and 3
Kazushi Ahara
Mitsuhiko Takasawa
Abstract in Postscript or DVI
Full text (Postscript)

Polynomials with Height 1 and Prescribed Vanishing at 1
Peter Borwein
Michael J. Mossinghoff
Abstract in Postscript or DVI
Full text (Postscript)

Nested Squares and Evaluations of Integer Products
Karl Dilcher
Abstract in Postscript or DVI
Full text (Postscript)

The Irreducible Six-Dimensional Complex Representations of Aut(F₂) That Are Nontrivial on F₂
Dragomir Z. Djokovic
Abstract in Postscript or DVI
Full text (Postscript)

Integral Geometry and Real Zeros of Thue-Morse Polynomials
Christophe Doche
Michel Mendès France
Abstract in Postscript or DVI
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Two Short Presentations for Lyons’ Sporadic Simple Group
Volker Gebhardt
Abstract in Postscript or DVI
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Computing Hecke Eigenvalues Below the Cohomological Dimension
Paul E. Gunnells
Abstract in Postscript or DVI
Full text (Postscript)

Computing Gröbner Fans of Toric Ideals
Birkett Huber
Rekha R. Thomas
Abstract in Postscript or DVI
Full text (Postscript)

Treating the Exceptional Cases of the MeatAxe
Gábor Ivanyos
Klaus Lux
Abstract in Postscript or DVI
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Veselin Jungic On Monochromatic Arithmetic Progressions Having Odd Step
Abstract in Postscript or DVI
Full text (Postscript)

Symplectic Packings in Cotangent Bundles of Tori
F. Miller Maley
Jean Mastrangeli
Lisa Traynor
Abstract in Postscript or DVI
Full text (Postscript)

Counting Crystallographic Groups in Low Dimensions
Wilhelm Plesken
Tilman Schulz
Abstract in Postscript or DVI
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Infinite Regular Hexagon Sequences on a Triangle
Alvy Ray Smith
Abstract in Postscript or DVI
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Rational Knots and a Theorem of Kanenobu
Alexander Stoimenow
Abstract in Postscript or DVI
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On the Dimensions of Certain Incommensurably Constructed Sets
J. J. P. Veerman
B. D. Stosic
Abstract in Postscript or DVI
Full text (Postscript)

Volume 9, issue 4

A Test for Identifying Fourier Coefficients of Automorphic Forms and Application to Kloosterman Sums
Andrew R. Booker
Abstract in Postscript or DVI
Full text (Postscript)

Biases in the Shanks-Rényi Prime Number Race
Andrey Feuerverger
Greg Martin
Abstract in Postscript or DVI
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Nice Modular Varieties
Bruce Hunt
Abstract in Postscript or DVI
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The Size of the Fundamental Solutions of Consecutive Pell Equations
Michael J. Jacobson, Jr.
Hugh C. Williams
Abstract in Postscript or DVI
Full text (Postscript)

On Rational Maps with Two Critical Points
John Milnor
Abstract in Postscript or DVI
Full text (Postscript)

Invariants of Orthogonal G-Modules from the Character Table
Gabriele Nebe
Abstract in Postscript or DVI
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Critical Points of the Ginzburg-Landau Functional on Multiply-Connected Domains
J. W. Neuberger
R. J. Renka
Abstract in Postscript or DVI
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Rank Computations for the Congruent Number Elliptic Curves
Nicholas F. Rogers
Abstract in Postscript or DVI
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Ranks of Elliptic Curves in Families of Quadratic Twists
Karl Rubin
Alice Silverberg
Abstract in Postscript or DVI
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New Constant Mean Curvature Surfaces
Martin Kilian
Ian McIntosh
Nicholas Schmitt
Abstract in Postscript or DVI
Full text (Postscript)