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# Gems in experimental mathematics : AMS Special Session, Experimental Mathematics, January 5, 2009, Washington, DC

Author: Tewodros Amdeberhan; Luis A Medina; Victor H Moll; American Mathematical Society. Providence, R.I. : American Mathematical Society, ©2010. Contemporary mathematics (American Mathematical Society), v. 517. eBook : Document : Conference publication : EnglishView all editions and formats WorldCat The essays in this volume examine a wide range of topics related to the young field of experimental mathematics, and are based around the proceedings of the special session on Experimental  Read more...
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Genre/Form: Electronic booksConference papers and proceedingsCongresses Conference publication, Document, Internet resource Internet Resource, Computer File Tewodros Amdeberhan; Luis A Medina; Victor H Moll; American Mathematical Society. Find more information about: Tewodros Amdeberhan Luis A Medina Victor H Moll 9780821858417 0821858416 9780821881965 0821881965 774695132 "This collection [of papers] is a continuation of Tapas in experimental mathematics, volume 457 [Contemporary Mathematics series]"--Preface. 1 online resource (vii, 413 pages) : illustrations. The art of finding Calabi-Yau differential equations. Dedicated to the 90-th birthday of Lars Gärding / Gert Almkvist -- A note on a question due to A. Garsia / Tewodros Amdeberhan -- Experimental computation with oscillatory integrals / David H. Bailey and Jonathan M. Borwein -- Experimental mathematics and mathematical physics / David H. Bailey, Jonathan M. Borwein, David Broadhurst and Wadim Zudilin -- An extension of the parallel Risch algorithm / Stefan T. Boettner -- Appell polynomials and their zero attractors / Robert P. Boyer and William M. Y. Goh -- Congruences for Stirling numbers of the second kind / O-Yeat Chan and Dante Manna -- Expressions for harmonic number exponential generating functions / Mark W. Coffey -- Theory of log-rational integrals / Richard E. Crandall -- A new algorithm for the recursion of hypergeometric multisums with improved universal denominator / Stavros Garoufalidis and Xinyu Sun -- The method of brackets. Part 2: examples and applications / Ivan Gonzalez, Victor H. Moll and Armin Straub -- History of the formulas and algorithms for $\pi$ / Jesús Guillera -- A matrix form of Ramanujan-type series for $1/\pi$ / Jesús Guillera -- An algorithmic approach to the Mellin transform method / Karen Kohl and Flavia Stan -- Eliminating human insight: an algorithmic proof of Stembridge's TSPP theorem / Christoph Koutschan -- Towards the Koch snowflake fractal billiard: computer experiments and mathematical conjectures / Michel L. Lapidus and Robert G. Niemeyer -- An experimental mathematics perspective on the old, and still open, question of when to stop? / Luis A. Medina and Doron Zeilberger -- The distance to an irreducible polynomial / Michael J. Mossinghoff -- Square roots of $2\times 2$ matrices / Sam Northshield -- On a series of Ramanujan / Olivier Oloa -- Finite analogs of Szemerédi's theorem / Paul Raff and Doron Zeilberger -- Towards an automation of the circle method / Andrew V. Sills -- The greatest common divisor of $an̂-1$ and $bn̂-1$ and the Ailon-Rudnick conjecture / Joseph H. Silverman -- 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 / Jonathan Sondow and Kyle Schalm -- Experimentation at the frontiers of reality in Schubert calculus / Christopher Hillar, Luis García-Puente, Abraham Martín del Campo, James Ruffo, Zach Teitler, Stephen L. Johnson and Frank Sottile -- On ${\rm Sp}_4$ modularity of Picard-Fuchs differential equations for Calabi-Yau threefolds / Yifan Yang and Wadim Zudilin -- Contemporary mathematics (American Mathematical Society), v. 517. Tapas in experimental mathematics. Tewodros Amdeberhan, Luis A. Medina, Victor H. Moll, editors.

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