Construction of Approximations to Zeta-Values

DOI10.1007/978-3-211-74280-8_16zbMath1254.11071OpenAlexW2224221666MaRDI QIDQ3530439

Yuri V. Nesterenko

Publication date: 20 October 2008

Published in: Diophantine Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-211-74280-8_16

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Polylogarithms and relations with (K)-theory (11G55) Irrationality; linear independence over a field (11J72)

Cites Work

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• Integral identities and constructions of approximations to zeta-values
• A few remarks on \(\zeta (3)\)
• Linear independence of vectors with polylogarithmic coordinates
• The group structure for ζ(3)
• La fonction zêta de Riemann prend une infinité de valeurs irrationnelles aux entiers impairs
• One of the numbers ζ(5), ζ(7), ζ(9), ζ(11) is irrational
• On a permutation group related to ζ(2)

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