Experimental Mathematics

Volume 10 (2001)

Next Volume - All Volumes - Previous Volume

Volume 10, issue 1

A Random Graph Model for Power Law Graphs
William Aiello
Fan Chung
Linyuan Lu
Abstract in Postscript or DVI
Full Text (Postscript)

Conformally Symmetric Circle Packings: A Generalization of Doyle’s Spirals
Alexander I. Bobenko
Tim Hoffmann
Abstract in Postscript or DVI
Full Text (Postscript)
Interactive figures in Java

Central Binomial Sums, Multiple Clausen Values, and Zeta Values
Jonathan Michael Borwein
David J. Broadhurst
Joel Kamnitzer
Abstract in Postscript or DVI
Full Text (Postscript)

Irrationality Measures of log 2 and π/√3
Nicolas Brisebarre
Abstract in Postscript or DVI
Full Text (Postscript)

The Construction of Orthonormal Wavelets Using Symbolic Methods and a Matrix Analytical Approach for Wavelets on the Interval
Frédéric Chyzak
Peter Paule
Otmar Scherzer
Armin Schoisswohl
Burkhard Zimmermann
Abstract in Postscript or DVI
Full Text (Postscript)

Computation of Five- and Six-Dimensional Bieberbach Groups
Carlos Cid
Tilman Schulz
Abstract in Postscript or DVI
Full Text (Postscript)

Solving the Quintic by Iteration in Three Dimensions
Scott Crass
Abstract in Postscript or DVI
Full Text (Postscript)
Color version of Figures 3-10

Newton’s Formula and the Continued Fraction Expansion of √d
Andrej Dujella
Abstract in Postscript or DVI
Full Text (Postscript)

Integral Points on Elliptic Curves Defined by Simplest Cubic Fields
Sylvain Duquesne
Abstract in Postscript or DVI
Full Text (Postscript)

Power Integral Bases in Cubic Relative Extensions
István Gaál
Abstract in Postscript or DVI
Full Text (Postscript)

Experimental Approaches to Kuttner’s Problem
Tilmann Gneiting
Kjell Konis
Donald Richards
Abstract in Postscript or DVI
Full Text (Postscript)

Fano Hypersurfaces in Weighted Projective 4-Spaces
Jennifer M. Johnson
János Kollár
Abstract in Postscript or DVI
Full Text (Postscript)

A Singular Example for the Averaged Mean Curvature Flow
Uwe F. Mayer
Abstract in Postscript or DVI
Full Text (Postscript)

On the Number of Daubechies Scaling Functions and a Conjecture of Chyzak et al.
Yang Wang
Abstract in Postscript or DVI
Full Text (Postscript)

Volume 10, issue 2

Off-Center Reflections: Caustics and Chaos
Thomas Kwok-keung Au
Xiao-Song Lin
Abstract in Postscript or DVI
Full Text (Postscript)

On the Random Character of Fundamental Constant Expansions
David H. Bailey
Richard E. Crandall
Abstract in Postscript or DVI
Full Text (Postscript)

Heuristics on Tate—Shafarevitch Groups of Elliptic Curves Defined over ℚ
Christophe Delaunay
Abstract in Postscript or DVI
Full Text (Postscript)

Cyclic Presentations of the Trivial Group
Martin Edjvet
Paul Hammond
Nathan Thomas
Abstract in Postscript or DVI
Full Text (Postscript)

Enumerating Large Orbits and Direct Condensation
Frank Lübeck
Max Neunhöffer
Abstract in Postscript or DVI
Full Text (Postscript)

Approximation of a Map Between One-Dimensional Teichmüller Spaces
Charles A. Matthews
Abstract in Postscript or DVI
Full Text (Postscript)

Finding the Eigenvalue in Elkies’ Algorithm
Markus Maurer
Müller
Abstract in Postscript or DVI
Full Text (Postscript)

On Artin L-Functions for Octic Quaternion Fields
Sami Omar
Abstract in Postscript or DVI
Full Text (Postscript)

Three-Manifolds Having Complexity At Most 9
Bruno Martelli
Carlo Petronio
Abstract in Postscript or DVI
Full Text (Postscript)

A Powerful Determinant
Alfred J. van der Poorten
Abstract in Postscript or DVI
Full Text (Postscript)

The Gaussian Zoo
John Renze
Stan Wagon
Brian Wick
Abstract in Postscript or DVI
Full Text (Postscript)
Addendum of 25 Jun 2001
Mathematica Notebook

Prime Numbers with a Fixed Number of One Bits or Zero Bits in Their Binary Representation
Samuel S. Wagstaff, Jr.
Abstract in Postscript or DVI
Full Text (Postscript)

Volume 10, issue 3

A Geometric Study of the Hypergeometric Function with Imaginary Exponents
Takeshi Sasaki
Masaaki Yoshida
Full Text (PDF)

How Tight is Hadamard’s Bound?
John Abbott
Thom Mulders
Full Text (PDF)

Partial Sums of ζ(½) Modulo 1
Jade Vinson
Full Text (PDF)

Descent-Cycling in Schubert Calculus
Allen Knutson
Full Text (PDF)

On the Normality of Arithmetical Constants
Jeffrey C. Lagarias
Full Text (PDF)

Representing Subgroups of Finitely Presented Groups by Quotient Subgroups
Alexander Hulpke
Full Text (PDF)

Symmetric Square L-Functions and Shafarevich-Tate Groups
Neil Dummigan
Full Text (PDF)

Estimation of the Amplitude of Resonance in the General Standard Map
Arturo Olvera
Full Text (PDF)

Geodesic Knots in the Figure-Eight Knot Complement
Sally M. Miller
Full Text (PDF)

Constructing a Laplacian on the Diamond Fractal
Jun Kigami
Robert S. Strichartz
Katharine C. Walker
Full Text (PDF)

Computing Torsion Points on Curves
Bjorn Poonen
Full Text (PDF)

Mordell-Weil Lattices in Charactistic 2, III: A Mordell-Weil Lattice of Rank 128
Noam D. Elkies
Full Text (PDF)

Elliptic Curves of High Rank with Nontrivial Torsion Group over ℚ
Leopoldo Kulesz
Colin Stahlke
Full Text (PDF)

Volume 10, issue 4

Farey Curves
Xavier Buff
Christian Henriksen
John H. Hubbard
Full Text (PDF)

On the Inhomogeneous Hall's Ray of Period-One Quadratics
Christopher G. Pinner
Dan Wolczuk
Full Text (PDF)

Computer Calculation of the Degree of Maps into the Poincaré Homology Sphere
Claude Hayat-Legrand
Sergei Matveev
Heiner Zeischang
Full Text (PDF)

Singular Values of Trilinear Forms
Bo Bernhardsson
Jaak Peetre
Full Text (PDF)

The Pentagram Map is Recurrent
Richard Evan Schwartz
Full Text (PDF)

On Holomorphic Foliations Without Algebraic Solutions
S. C. Coutinho
Bruno F. M. Ribeiro
Full Text (PDF)

A Database of Invariant Rings
Gregor Kemper
Elmar Körding
Gunter Malle
B. Heinrich Matzat
Denis Vogel
Gabor Wiese
Full Text (PDF)

Hermite’s Constant for Quadratic Number Fields
Ricardo Baeza
Renaud Coulangeon
Maria Ines Icaza
Manuel O’Ryan
Full Text (PDF)

Almost Primality of Group Orders of Elliptic Curves Defined over Small Finite Fields
Neal Koblitz
Full Text (PDF)

Rank Frequencies for Quadratic Twists of Elliptic Curves
Karl Rubin
Alice Silverberg
Full Text (PDF)

Computing Triangulations of Mapping Tori of Surface Homeomorphisms
Peter Brinkmann
Saul Schleimer
Full Text (PDF)

On the Height of a Random Set of Points in a d-Dimensional Unit Cube
Eric Breimer
Mark Goldberg
Brian Kolstad
Malik Magdon-Ismail
Full Text (PDF)

Dual Cones and the Voronoi Algorithm
Jürgen Opgenorth
Full Text (PDF)

On Polynomial Eigenfunctions of a Hypergeometric-Type Operator
Gisli Másson
Boris Shapiro
Full Text (PDF)

Sampling Theory for Functions with Fractal Spectrum
Nina N. Huang
Robert S. Strichartz
Full Text (PDF)

Outdated Archival Version