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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/934880

Title: Arithmetic of linear forms involving odd zeta values
Author/Creator: Zudilin, W.
Description: A general hypergeometric construction of linear forms in (odd) zeta values is presented. The construction allows to recover the records of Rhin and Viola for the irrationality measures of ζ(2) and ζ(3), as well as to explain Rivoal’s recent result on infiniteness of irrational numbers in the set of odd zeta values, and to prove that at least one of the four numbers ζ(5), ζ(7), ζ(9), and ζ(11) is irrational.
Relation: Journal de Theorie des Nombres de Bordeaux Vol. 16, Issue 1, p. 251-291
Publisher Link: http://dx.doi.org/10.5802/jtnb.447
Date: 2004
Publisher: Universite de Bordeaux I
Keyword(s): arithmetic; linear forms; odd zeta values; hypergeometric construction
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/934880
Identifier: ISSN:1246-7405
Language: eng

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