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
