# Experimental Mathematics

## Volume 16 (2007)

All Volumes - Previous Volume

### Volume 16, Issue 1

Computing Decompositions of Modules over Finite-Dimensional Algebras

**Klaus M. Lux and Magdolna Szoke**

A Database of Polarized K3 Surfaces

**Gavin Brown**

Zeros of Partial Sums of the Riemann Zeta Function

**Peter Borwein, Greg Fee, Ron Ferguson, and Alexa van der Waall**

Computational Methods for the Construction of a Class of Noetherian Operators

**Alberto Damiano, Irene Sabadini, and Daniele C. Struppa**

Stirling Numbers and Spin-Euler Polynomials

**D. Eelbode**

Clusters, Currents, and Whitehead’s Algorithm

**Ilya Kapovich**

A Tentative Classification of Bijective Polygonal Piecewise Isometries

**X. Bressaud and G. Poggiaspalla**

Supplementary materials

Counting Balanced Boolean Functions in n Variables with Bounded Degree

**Thomas W. Cusick and Younhwan Cheon**

Exceptional Regions and Associated Exceptional Hyperbolic 3-Manifolds

**Abhijit Champanerkar, Jacob Lewis, Max Lipyanskiy, and Scott Meltzer, with an appendix by Alan W. Reid**

Supersingular Galois Representations and a Generalization of a Conjecture of Serre

**Darrin Doud**

### Volume 16, Issue 2

Observations from the 8-Tetrahedron Nonorientable Census

**Benjamin A. Burton**

The Symmetric Subset Problem in Continuous Ramsey Theory

**Greg Martin and Kevin O’Bryant**

The Minimum Dilatation of Pseudo-Anosov 5-Braids

**Ji-Young Ham and Won Taek Song**

On Hyperbolic Plateaus of the Hénon Map

**Zin Arai**

Matrix-Valued Orthogonal Polynomials Related to SU(*N* + 1), Their Algebras of Differential Operators, and the Corresponding Curves

**F. Alberto Grünbaum and Manuel D. de la Iglesia**

Pseudoprime Statistics to 10^{19}

**Jens Kruse Andersen and Harvey Dubner**

Cylinder Renormalization of Siegel Disks

**Denis Gaidashev and Michael Yampolsky**

Newton Polytopes of Two-Dimensional Hidden Markov Models

**Jay Wierer and Nigel Boston**

Secant Dimensions of Minimal Orbits: Computations and Conjectures

**Karin Baur, Jan Draisma, and Willem A. de Graaf**

On the Number of Cusps of Rational Cuspidal Plane Curves

**Jens Piontkowski**

### Volume 16, Issue 3

Hypergeometric Forms for Ising-Class Integrals

**D. H. Bailey, D. Borwein, J. M. Borwein, and R. E. Crandall**

Tropical Polytopes and Cellular Resolutions

**Mike Devlin and Josephine Yu**

Jointly Periodic Points in Cellular Automata: Computer Explorations and Conjectures

**Mike Boyle and Bryant Lee**

Supplementary tables

Finding All Elliptic Curves with Good Reduction Outside a Given Set of Primes

**J. E. Cremona and M. P. Lingham**

The *D*_{4} Root System Is Not Universally Optimal

**Henry Cohn, John H. Conway, Noam D. Elkies, and Abhinav Kumar**

Schwarz Reflection Geometry II: Local and Behavior of the Exponential Map

**Annalisa Calini and Joel Langer**

On the Efficiency of the Simple Groups of Order Less Than a Million and Their Covers

**Colin M. Campbell, George Havas, Colin Ramsay, and Edmund F. Robertson**

On the Integral Carathéodory Property

**Winfried Bruns**

Equality of Polynomial and Field Discriminants

**Avner Ash, Jos Brakenhoff, and Theodore Zarrabi**

A Hardy-Ramanujan Formula for Lie Algebras

**Gordon Ritter**

### Volume 16, Issue 4

Elliptic Curves as Attractors in P^{2}, Part 1: Dynamics

**Araceli Bonifant, Marius Dabija, and John Milnor**

An Explicit Formula for the Arithmetic-Geometric Mean in Genus 3

**D. Lehavi and C. Ritzenthaler**

On the Singularization of the Two-Dimensional Jacobi–Perron Algorithm

**B. Schratzberger**

Lenstra’s Constant and Extreme Forms in Number Fields

**R. Coulangeon, M. I. Icaza, and M. O’Ryan**

Constructing Hyperbolic Polyhedra Using Newton’s Method

**Roland K. W. Roeder**

Supplementary materials

Sparse Representation for Cyclotomic Fields

**Claus Fieker**

The Propositional Theory of Closure

**A. E. McCluskey, D. W. McIntyre, and W. S. Watson**