**Contemporary Mathematics**

Volume: 457;
2008;
292 pp;
Softcover

MSC: Primary 05; 11; 13; 33; 34; 52;

Print ISBN: 978-0-8218-4317-8

Product Code: CONM/457

List Price: $97.00

Individual Member Price: $77.60

**Electronic ISBN: 978-0-8218-8136-1
Product Code: CONM/457.E**

List Price: $97.00

Individual Member Price: $77.60

# Tapas in Experimental Mathematics

Share this page *Edited by *
*Tewodros Amdeberhan; Victor H. Moll*

Experimental Mathematics is a recently structured field of Mathematics that uses a computer and advanced computing technology as tools to perform experiments such as analysis of examples, testing of new ideas, and the search of patterns.

The development of a broad spectrum of mathematical software
products such as *Mathematica*® and *Maple*™
has allowed mathematicians of diverse backgrounds and interests to
make the computer an essential part of their daily working
environment.

This volume represents the AMS Special Session on Experimental Mathematics held in January 2007 in New Orleans. This gathering is part of an annual meeting of a growing number of scientists that have been labeled experimental mathematicians.

The guiding principles of the field, some of which are included in the introduction to these proceedings, are similar to those of laboratory experiments in the physical and biological sciences.

#### Table of Contents

# Table of Contents

## Tapas in Experimental Mathematics

- Contents v6 free
- Preface vii8 free
- Two dimensional directed lattice walks with boundaries 110 free
- Computer-assisted discovery and proof 2130
- On the collection of integers that index the fixed points of maps on the space of rational functions 5362
- Questionable claims found in Ramanujan's lost notebook 6978
- Partition polynomials: Asymptotics and zeros 99108
- Hypergeometric functions related to series acceleration formulas 113122
- Using integer relations algorithms for finding relationships among functions 127136
- Conjecturing the optimal order of the components of the Li/Keiper constants 135144
- An experimental approach to equation-solving: Symmetry and dynamics 161170
- Multidimensional radix representations and Hot Spot Theorem 181190
- Some properties of the inverse error function 191200
- On the Laplace transform of the Psi function 205214
- Computer algebra for special function inequalities 215224
- An isodiametric problem for equilateral polygons 237246
- Some Euler-type integrals and a new rational series for Euler's constant 253262
- Disturbing the q-Dyson conjecture 265274
- Which partial sums of the Taylor series for e are convergents to e? (and a link to the primes 2, 5, 13, 37, 463) 273282
- Symbol-crunching with the gambler's ruin problem 285294

#### Readership

Graduate students and research mathematicians interested in experimental/emperical mathematics with application to various sciences.