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020 _a9780821881965 (online)
245 0 _aGems in experimental mathematics :
_bAMS Special Session, Experimental Mathematics, January 5, 2009, Washington, DC
260 _aProvidence, R.I. :
_bAmerican Mathematical Society,
_cc2010
300 _a1 online resource (vii, 413 p. : ill.)
490 _aContemporary mathematics
_vv. 517
_x10983627
500 _aThis collection [of papers] is a continuation of Tapas in experimental mathematics, volume 457 [Contemporary Mathematics series]Preface.
504 _aIncludes bibliographical references.
505 _tThe 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
_1\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
_2\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
_a^n1
_ and
_b^n1
_ and the AilonRudnick conjecture ; 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 ; Experimentation at the frontiers of reality in Schubert calculus ; On
_\rm Sp_4
_ modularity of PicardFuchs differential equations for CalabiYau threefolds
_rGert 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
650 _aCombinatorial analysis
650 _aExperimental mathematics
650 _aNumber theory
700 _aAmdeberhan Tewodros
700 _aMedina Luis A
700 _aMoll Victor H
856 _uhttp://www.ams.org/conm/517/
999 _c28934
_d28934