# Gems in Experimental Mathematics

### About this Title

**Tewodros Amdeberhan**, **Luis A. Medina** and **Victor H. Moll**, Editors

Publication: Contemporary Mathematics

Publication Year
2010: Volume 517

ISBNs: 978-0-8218-4869-2 (print); 978-0-8218-8196-5 (online)

DOI: http://dx.doi.org/10.1090/conm/517

MathSciNet review: 2761908

### Table of Contents

**Front/Back Matter**

**Articles**

- Gert Almkvist – The art of finding Calabi-Yau differential equations. Dedicated to the 90-th birthday of Lars Gärding [MR 2731057]
- Tewodros Amdeberhan – A note on a question due to A. Garsia [MR 2731058]
- David H. Bailey and Jonathan M. Borwein – Experimental computation with oscillatory integrals [MR 2731059]
- David H. Bailey, Jonathan M. Borwein, David Broadhurst and Wadim Zudilin – Experimental mathematics and mathematical physics [MR 2731060]
- Stefan T. Boettner – An extension of the parallel Risch algorithm [MR 2731061]
- Robert P. Boyer and William M. Y. Goh – Appell polynomials and their zero attractors [MR 2731062]
- O-Yeat Chan and Dante Manna – Congruences for Stirling numbers of the second kind [MR 2731094]
- Mark W. Coffey – Expressions for harmonic number exponential generating functions [MR 2731093]
- Richard E. Crandall – Theory of log-rational integrals [MR 2731092]
- Stavros Garoufalidis and Xinyu Sun – A new algorithm for the recursion of hypergeometric multisums with improved universal denominator [MR 2731091]
- Ivan Gonzalez, Victor H. Moll and Armin Straub – The method of brackets. Part 2: examples and applications [MR 2731090]
- Jesús Guillera – History of the formulas and algorithms for $\pi $ [MR 2731089]
- Jesús Guillera – A matrix form of Ramanujan-type series for $1/\pi $ [MR 2731088]
- Karen Kohl and Flavia Stan – An algorithmic approach to the Mellin transform method [MR 2731087]
- Christoph Koutschan – Eliminating human insight: an algorithmic proof of Stembridge’s TSPP theorem [MR 2731086]
- Michel L. Lapidus and Robert G. Niemeyer – Towards the Koch snowflake fractal billiard: computer experiments and mathematical conjectures [MR 2731085]
- Luis A. Medina and Doron Zeilberger – An experimental mathematics perspective on the old, and still open, question of when to stop? [MR 2731084]
- Michael J. Mossinghoff – The distance to an irreducible polynomial [MR 2731083]
- Sam Northshield – Square roots of $2\times 2$ matrices [MR 2731082]
- Olivier Oloa – On a series of Ramanujan [MR 2731081]
- Paul Raff and Doron Zeilberger – Finite analogs of Szemerédi’s theorem [MR 2731080]
- Andrew V. Sills – Towards an automation of the circle method [MR 2731079]
- Joseph H. Silverman – The greatest common divisor of $a^n-1$ and $b^n-1$ and the Ailon-Rudnick conjecture [MR 2731078]
- Jonathan Sondow and Kyle Schalm – Which partial sums of the Taylor series for $e$ are convergents to $e$? (and a link to the primes 2, 5, 13, 37, 463). Part II [MR 2731077]
- Christopher Hillar, Luis García-Puente, Abraham Martín del Campo, James Ruffo, Zach Teitler, Stephen L. Johnson and Frank Sottile – Experimentation at the frontiers of reality in Schubert calculus [MR 2731076]
- Yifan Yang and Wadim Zudilin – On ${\rm Sp}_4$ modularity of Picard-Fuchs differential equations for Calabi-Yau threefolds [MR 2731075]