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

Contributor(s): Amdeberhan Tewodros | Medina Luis A | Moll Victor HMaterial type: Computer fileComputer fileSeries: Contemporary mathematics ; v. 517Publication details: Providence, R.I. : American Mathematical Society, c2010Description: 1 online resource (vii, 413 p. : ill.)ISBN: 9780821881965 (online)Subject(s): Combinatorial analysis | Experimental mathematics | Number theoryOnline resources: Click here to access online
Contents:
The art of finding CalabiYau differential equations. Dedicated to the 90th birthday of Lars Garding ; A note on a question due to A. Garsia ; Experimental computation with oscillatory integrals ; Experimental mathematics and mathematical physics ; An extension of the parallel Risch algorithm ; Appell polynomials and their zero attractors ; Congruences for Stirling numbers of the second kind ; Expressions for harmonic number exponential generating functions ; Theory of logrational integrals ; A new algorithm for the recursion of hypergeometric multisums with improved universal denominator ; The method of brackets. Part 2: examples and applications ; History of the formulas and algorithms for ^n1 Gert Almkvist ; Tewodros Amdeberhan ; David H Bailey and Jonathan M Borwein ; David H Bailey Jonathan M Borwein David Broadhurst and Wadim Zudilin ; Stefan T Boettner ; Robert P Boyer and William M Y Goh ; OYeat Chan and Dante Manna ; Mark W Coffey ; Richard E Crandall ; Stavros Garoufalidis and Xinyu Sun ; Ivan Gonzalez Victor H Moll and Armin Straub ; Jesus Guillera ; Jesus Guillera ; Karen Kohl and Flavia Stan ; Christoph Koutschan ; Michel L Lapidus and Robert G Niemeyer ; Luis A Medina and Doron Zeilberger ; Michael J Mossinghoff ; Sam Northshield ; Olivier Oloa ; Paul Raff and Doron Zeilberger ; Andrew V Sills ; Joseph H Silverman ; Jonathan Sondow and Kyle Schalm ; Christopher Hillar Luis GarciaPuente Abraham Martin del Campo James Ruffo Zach Teitler Stephen L Johnson and Frank Sottile ; Yifan Yang and Wadim Zudilin
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This collection [of papers] is a continuation of Tapas in experimental mathematics, volume 457 [Contemporary Mathematics series]Preface.

Includes bibliographical references.

The art of finding CalabiYau differential equations. Dedicated to the 90th birthday of Lars Garding ; A note on a question due to A. Garsia ; Experimental computation with oscillatory integrals ; Experimental mathematics and mathematical physics ; An extension of the parallel Risch algorithm ; Appell polynomials and their zero attractors ; Congruences for Stirling numbers of the second kind ; Expressions for harmonic number exponential generating functions ; Theory of logrational integrals ; A new algorithm for the recursion of hypergeometric multisums with improved universal denominator ; The method of brackets. Part 2: examples and applications ; History of the formulas and algorithms for pi ; A matrix form of Ramanujantype series for \pi ; An algorithmic approach to the Mellin transform method ; Eliminating human insight: an algorithmic proof of Stembridge's TSPP theorem ; Towards the Koch snowflake fractal billiard: computer experiments and mathematical conjectures ; An experimental mathematics perspective on the old, and still open, question of when to stop? ; The distance to an irreducible polynomial ; Square roots of \times 2 matrices ; On a series of Ramanujan ; Finite analogs of Szemeredi's theorem ; Towards an automation of the circle method ; The greatest common divisor of ^n1 and ^n1 and the AilonRudnick conjecture ; Which partial sums of the Taylor series for are convergents to (and a link to the primes 2, 5, 13, 37, 463). Part II ; Experimentation at the frontiers of reality in Schubert calculus ; On rm Sp_4 modularity of PicardFuchs differential equations for CalabiYau threefolds Gert Almkvist ; Tewodros Amdeberhan ; David H Bailey and Jonathan M Borwein ; David H Bailey Jonathan M Borwein David Broadhurst and Wadim Zudilin ; Stefan T Boettner ; Robert P Boyer and William M Y Goh ; OYeat Chan and Dante Manna ; Mark W Coffey ; Richard E Crandall ; Stavros Garoufalidis and Xinyu Sun ; Ivan Gonzalez Victor H Moll and Armin Straub ; Jesus Guillera ; Jesus Guillera ; Karen Kohl and Flavia Stan ; Christoph Koutschan ; Michel L Lapidus and Robert G Niemeyer ; Luis A Medina and Doron Zeilberger ; Michael J Mossinghoff ; Sam Northshield ; Olivier Oloa ; Paul Raff and Doron Zeilberger ; Andrew V Sills ; Joseph H Silverman ; Jonathan Sondow and Kyle Schalm ; Christopher Hillar Luis GarciaPuente Abraham Martin del Campo James Ruffo Zach Teitler Stephen L Johnson and Frank Sottile ; Yifan Yang and Wadim Zudilin

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