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Record Nr. |
UNINA9910788632403321 |
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Titolo |
Gems in experimental mathematics : AMS Special Session, Experimental Mathematics, January 5, 2009, Washington, DC / / Tewodros Amdeberhan, Luis A. Medina, Victor H. Moll, editors |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2010] |
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©2010 |
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ISBN |
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0-8218-8196-5 |
0-8218-4869-0 |
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Descrizione fisica |
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1 online resource (426 p.) |
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Collana |
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Contemporary mathematics, ; 517 , 0271-4132 |
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Disciplina |
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Soggetti |
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Combinatorial analysis |
Number theory |
Experimental mathematics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"This collection [of papers] is a continuation of Tapas in experimental mathematics, volume 457 [Contemporary Mathematics series]"--Preface. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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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. |
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