02887nam 2200613 450 991082270420332120220819041129.00-8218-8196-50-8218-4869-0(CKB)3240000000070040(EBL)3113239(SSID)ssj0000629316(PQKBManifestationID)12239337(PQKBTitleCode)TC0000629316(PQKBWorkID)10718151(PQKB)11711266(MiAaPQ)EBC3113239(RPAM)16119159(PPN)197108458(EXLCZ)99324000000007004020100304h20102010 uy| 0engur|n|---|||||txtccrGems in experimental mathematics AMS Special Session, Experimental Mathematics, January 5, 2009, Washington, DC /Tewodros Amdeberhan, Luis A. Medina, Victor H. Moll, editorsProvidence, Rhode Island :American Mathematical Society,[2010]©20101 online resource (426 p.)Contemporary mathematics,5170271-4132"This collection [of papers] is a continuation of Tapas in experimental mathematics, volume 457 [Contemporary Mathematics series]"--Preface.Includes bibliographical references.A new algorithm for the recursion of hypergeometric multi-sums with improved universal denominator -- 1. Introduction -- 2. Two algorithms -- 3. Use of the program and examples -- 4. Proof of the multi-sum algorithm -- 5. Proof of the universal denominator algorithm -- References -- The method of brackets. Part 2: Examples and applications -- History of the formulas and algorithms for IR -- A matrix form of Ramanujan-type series for 1/E -- An algorithmic approach to the Mellin transform method -- Which partial sums of the Taylor-series for e are convergents to e (and a link to the primes 2, 5, 13, 37, 463). Experimentation at the frontiers of reality in Schubert calculus -- On Sp4 modularity of Picard-Fuchs differential equations for Calabi-Yau three-folds.Contemporary mathematics,5170271-4132Combinatorial analysisCongressesNumber theoryCongressesExperimental mathematicsCongressesCombinatorial analysisNumber theoryExperimental mathematics511/.6Amdeberhan Tewodros1971-Medina Luis A.1981-Moll Victor H.1956-American Mathematical Society,AMS Special Session on Experimental MathematicsMiAaPQMiAaPQMiAaPQBOOK9910822704203321Gems in experimental mathematics776981UNINA