Integral identities and constructions of approximations to zeta-values

DOI10.5802/jtnb.412zbMath1090.11047OpenAlexW2048572147MaRDI QIDQ558148

Yuri V. Nesterenko

Publication date: 30 June 2005

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2003__15_2_535_0

zbMATH Keywords

zeta functionhypergoemetric integralslinear forms in polylogarithms

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Polylogarithms and relations with (K)-theory (11G55) Irrationality; linear independence over a field (11J72)

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Cites Work

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• Linear independence of vectors with polylogarithmic coordinates
• A Note on the Irrationality of ζ(2) and ζ(3)
• Об иррациональности некоторых величин, содержащих ζ(3)
• La fonction zêta de Riemann prend une infinité de valeurs irrationnelles aux entiers impairs
• Irrationality of values of the Riemann zeta function