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Experimental Mathematics: Table of Contents: Volume 15

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Experimental Mathematics

Volume 15 (2006)


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Volume 15, Issue 1

"Fractals and Eigenvalues of the Laplacian on Certain Noncompact Surfaces
Arthur Baragar

The Probability that a Random Monic p-Adic Polynomial Splits
Joe Buhler, Daniel Goldstein, David Moews, and Joel Rosenberg

Random Matrix Theory and the Fourier Coefficients of Half-Integral Weight Forms
J. Brian Conrey, Jon P. Keating, Michael Rubinstein, and Nina C. Snaith

Topology of Plane Sections of Periodic Polyhedra with an Application to the Truncated Octahedron
Roberto De Leo
Appendix

On the Computation of Clebsch-Gordan Coefficients and the Dilation Effect
Jesús A. De Loera and Tyrrell B. McAllister

Diophantine Equations over Global Function Fields II: R-Integral Solutions of Thue Equations
István Gaál and Michael Pohst

A New Method to Obtain Series for 1/π and 1/π2
Jesús Guillera

Drawing Bers Embeddings of the Teichmüller Space of Once-Punctured Tori
Yohei Komori, Toshiyuki Sugawa, Masaaki Wada, and Yashusi Yamashita

Nonlinear Elliptic Partial Difference Equations on Graphs
John M. Neuberger

Determination of the Best Constant in an Inequality of Hardy, Littlewood, and Polya
T. C. Peachey and C. M. Enticott

OPTi’s Algorithm for Discreteness Determination
Masaaki Wada



Volume 15, Issue 2

The Superpolynomial for Knot Homologies
Nathan M. Dunfield, Sergei Gukov, and Jacob Rasmussen

Obtuse Triangular Billiards I: Near the (2, 3, 6) Triangle
Richard Evan Schwartz

Searching for Large Elite Primes
Tom Müller

Disturbing the Dyson Conjecture (in a GOOD Way)
Andrew V. Sills and Doron Zeilberger

Fast Searching for Andrews-Curtis Trivializations
R. Sean Bowman and Stephen B. McCaul

Experimentation and Conjectures in the Real Schubert Calculus for Flag Manifolds
Jim Ruffo, Yuval Sivan, Evgenia Soprunova, and Frank Sottile

The Mathieu Group M12 and Its Pseudogroup Extension M13
John H. Conway, Noam D. Elkies, and Jeremy L. Martin

Complexity of 4-Manifolds
Francesco Costantino

Abundant Numbers and the Riemann Hypothesis
Keith Briggs



Volume 15, Issue 3

Investigations of Zeros near the Central Point of Elliptic Curve L-functions
Steven J. Miller, with an appendix Eduardo Dueñez

Experimental Determination of Apéry-Like Identities for z(2n + 2)
David H. Bailey, Jonathan M. Borwein, and David M. Bradley

Computing Varieties of Representations of Hyperbolic 3-Manifolds into SL(4,R)
Daryl Cooper, Darren Long, and Morwen Thistlethwaite

New Conjectural Lower Bounds on the Optimal Density of Sphere Packings
S. Torquato and F. H. Stillinger

New Bounds for the Principal Dirichlet Eigenvalue of Planar Regions
Pedro Antunes and Pedro Freitas

Broken-Cycle-Free Subgraphs and the Log-Concavity Conjecture for Chromatic Polynomials
P. H. Lundlow and K. Markström

On the Distribution of Analytic v|III| Values on Quadratic Twists of Elliptic Curves
Patricia L. Quattrini
Supplementary Graphs

Combinatorial Random Walks on 3-Manifolds
Markus Banagl



Volume 15, Issue 4

Artin’s Conjecture, Turing’s Method, and the Riemann Hypothesis
Andrew R. Booker

A Class of Conjectured Series Representations for 1/π
Jesús Guillera

Heuristics for the Brauer-Manin Obstruction for Curves
Bjorn Poonen

Modeling Snow Crystal Growth I: Rigorous Results for Packard’s Digital Snowflakes
Janko Gravner and David Griffeath

The Nucleus of the Free Alternative Algebra
I. R. Hentzel and L. A. Peresi

Prehomogeneous Spaces Associated with Nilpotent Orbits in Simple Real Lie Algebras E6(6) and E6(-26) and Their Relative Invariants
Steven Glann Jackson and Alfred G. Noël

On Simultaneous Arithmetic Progressions on Elliptic Curves
Irene García-Selfa and José M. Tornero
Supplement as PDF or text

Some Geometry and Combinatorics for the S-Invariant of Ternary Cubics
P. M. H. Wilson
Supplementary Appendix

Fold Maps from the Sphere to the Plane
D. Hacon, C. Mendes de Jesus, and M. C. Romero Fuster

Zeros of {-1, 0, 1} Power Series and Connectedness Loci for Self-Affine Sets
Pablo Shmerkin and Boris Solomyak
Supplementary Code

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