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Experimental Mathematics

Upcoming Articles


Volume Index

An Explicit Formula for the Arithmetic Geometric Mean in Genus 3
by D. Lehavi and C. Ritzenthaler

The Propositional Theory of Closure
by A. E. McCluskey, D. W. McIntyre, and W. S. Watson

The Minimum Dilatation of Pseudo-Anosov 5-Braids
by Ji-Young Ham and Won Taek Song

On Hyperbolic Plateaus of the Hénon Maps
by Zin Arai

Observations from the 8-Tetrahedron Non-Orientable Census
by Benjamin A. Burton

Matrix Valued Orthogonal Polynomials Related to SU(N + 1), Their Algebras of Differential Operators, and the Corresponding Curves
by Manuel D. de la Iglesia and F. Alberto Grünbaum

A Hardy-Ramanujan Formula for Lie Algebras
by William Gordon Ritter

On the Singularization of the Two-Dimensional Jacobi-Perron Algorithm
by B. Schratzberger

The Symmetric Subset Problem in Continuous Ramsey Theory
by Greg Martin and Kevin O’Bryant

Equality of Polynomial and Field Discriminants
by Avner Ash, Jos Brakenhoff, and Theodore Zarrabi

Elliptic Curves as Attractors in P2 Part 1: Dynamics
by Araceli Bonifant, Marius Dabija, and John Milnor

Base Tangle Decompositions of n-String Tangles with 1 < n < 10 by M. Ochiai and N. Morimura

Pseudoprime Statistics to 1019
by Jens Kruse Andersen and Harvey Dubner

Cylinder Renormalization of Siegel Disks
by Denis Gaidashev and Michael Yampolsky

Constructing Hyperbolic Polyhedra Using Newton’s Method
by Roland K. W. Roeder

Newton Polytopes of Two-Dimensional Hidden Markov Models
by Jay Wierer and Nigel Boston

Secant Dimensions of Minimal Orbits: Computations and Conjectures
by Karin Baur, Jan Draisma, and Willem A. de Graaf

Schwarz Reflection Geometry II: Local and Global Behavior of the Exponential Map
by Annalisa Calini and Joel Langer

Tropical Polytopes and Cellular Resolutions
by Mike Develin and Josephine Yu

Sparse Representation for Cyclotomic Fields
by Claus Fieker

Finding All Elliptic Curves with Good Reduction Outside a Given Set of Primes
by J. E. Cremona and M. P. Lingham

Computing Central Values of Twisted L-Series: The Case of Composite Levels
by Ariel Pacetti and Gonzalo Tornaría

Deciding Existence of Rational Points on Curves: An Experiment
by Nils Bruin and Michael Stoll

On the Number of the Cusps of Rational Cuspidal Plane Curves
by Jens Piontkowski

Jointly Periodic Points in Cellular Automata: Computer Explorations and Conjectures
by Mike Boyle and Bryant Lee

Hypergeometric Forms for Ising-Class Integrals
by D. H. Bailey, D. Borwein, J. M. Borwein, and R. E. Crandall

The D4 Root System is Not Universally Optimal
by Henry Cohn, John H. Conway, Noam D. Elkies, and Abhinav Kumar

Lenstra’s Constant and Extreme Forms in Number Fields
by R. Coulangeon, M. I. Icaza, and M. O’Ryan

On the Integral Caratheodory Property
by Winfried Bruns

On the Efficiency of the Simple Groups with Order Less Than a Million and Their Covers
by Colin M. Campbell, George Havas, Colin Ramsay, and Edmund F. Robertson

The Rational Homology Group of Out(Fn) for n ≤ 6
by Ryo Ohashi

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