Experimental Mathematics

Volume 8 (1999)

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Volume 8, issue 1

Singular Separatrix Splitting and the Melnikov Method: An Experimental Study
Amadeu Delshams
Rafael Ramírez-Ros
Abstract in Postscript or DVI
Full text (Postscript)

The Topology of the Relative Character Varieties of a Quadruply-Punctured Sphere
Robert L. Benedetto
William M. Goldman
Abstract in Postscript or DVI
Full text (Postscript)

Caustique de la surface ellipsoïdale à trois dimensions
Alain Joets
Roland Ribotta
Abstract in Postscript or DVI
Full text (Postscript)

Spectral Properties of High Contrast Band-Gap Materials and Operators on Graphs
Peter Kuchment
Leonid A. Kunyansky
Abstract in Postscript or DVI
Full text (Postscript)

Computing Immersed Normal Surfaces in the Figure-Eight Knot Complement
Richard Rannard
Abstract in Postscript or DVI
Full text (Postscript)

A Problem Concerning a Character Sum
Edlyn Teske
Hugh C. Williams
Abstract in Postscript or DVI
Full text (Postscript)

On Certain Plane Curves with Many Integral Points
Fernando Rodriguez Villegas
José Felipe Voloch
Abstract in Postscript or DVI
Full text (Postscript)

Volume 8, issue 2

Borwein and Bradley’s Apéry-Like Formulae for ζ(4n+3)
Gert Almkvist
Andrew Granville
Abstract in Postscript or DVI
Full text (Postscript)

The Dual of the Invariant Quintic
Eberhard Freitag
Bruce Hunt
Abstract in Postscript or DVI
Full text (Postscript)

Addenda and Errata to Extended GCD and Hermite Normal Form Algorithms via Lattice Basis Reduction
George Havas
Bohdan S. Majewski
Keith R. Matthews
Full text (Postscript)

Numerical Computation of Normal Forms, Centre Manifolds and First Integrals of Hamiltonian Systems
Àngel Jorba
Abstract in Postscript or DVI
Full text (Postscript)

Jumping Champions
Andrew Odlyzko
Michael Rubinstein
Marek Wolf
Abstract in Postscript or DVI
Full text (Postscript)

Some Methods for Evaluating the Regulator of a Real Quadratic Function Field
Andreas Stein
Hugh C. Williams
Abstract in Postscript or DVI
Full text (Postscript)

On the Elliptic Logarithm Method for Elliptic Diophantine Equations: Reflections and an Improvement
Roel J. Stroeker
Nikos Tzanakis
Abstract in Postscript or DVI
Full text (Postscript)

Volume 8, issue 3

Affine Spheres: Discretization via Duality Relations
Alexander I. Bobenko
Wolfgang K. Schief
Abstract in Postscript or DVI
Full text (Postscript)

On the Volume of the Polytope of Doubly Stochastic Matrices
Clara S. Chan
David P. Robbins
Abstract in Postscript or DVI
Full text (Postscript)

Solving the Sextic by Iteration: A Study in Complex Geometry and Dynamics
Scott Crass
Abstract in Postscript or DVI
Full text (Postscript)

Tangencies for Real and Complex Hénon Maps: An Analytic Method
John Erik Fornæss
Estela A. Gavosto
Abstract in Postscript or DVI
Full text (Postscript)

On Special Pieces in the Unipotent Variety
Meinolf Geck
Gunter Malle
Abstract in Postscript or DVI
Full text (Postscript)

The (3n+1)-Problem and Holomorphic Dynamics
Simon Letherman
Dierk Schleicher
Reg Wood
Abstract in Postscript or DVI
Full text (Postscript)

Numerical Calculation of the Essential Spectrum of a Laplacian
J. W. Neuberger
R. J. Renka
Abstract in Postscript or DVI
Full text (Postscript)

Volume 8, issue 4

On Cyclotomic Polynomials with ±1 Coefficients
Peter Borwein
Kwok-Kwong Stephen Choi
Abstract in Postscript or DVI
Full text (Postscript)

The Blasius Function in the Complex Plane
John P. Boyd
Abstract in Postscript or DVI
Full text (Postscript)

On Arithmetic Progressions on Elliptic Curves
Andrew Bremner
Abstract in Postscript or DVI
Full text (Postscript)

New Representations for the Madelung Constant
Richard E. Crandall
Abstract in Postscript or DVI
Full text (Postscript)

Polynômes prenant des valeurs premières
François Dress
Michel Olivier
Abstract in Postscript or DVI
Full text (Postscript)

Sieving in Function Fields
Ralf Flassenberg
Sachar Paulus
Abstract in Postscript or DVI
Full text (Postscript)

Rational Points on X₀⁺(p)
Steven D. Galbraith
Abstract in Postscript or DVI
Full text (Postscript)

Calcul de résolvantes avec les modules de Cauchy
Nicolas Rennert
Annick Valibouze
Abstract in Postscript or DVI
Full text (Postscript)

The Tensor Product of Polynomials
Ruth Schwingel
Abstract in Postscript or DVI
Full text (Postscript)