A lower bound of the dimension of the vector space spanned by the special values of certain functions

zbMath1430.11121MaRDI QIDQ1708158

Minoru Hirose, Nobuo Sato, Makoto Kawashima

Publication date: 4 April 2018

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tjm/1515466835

zbMATH Keywords

Padé approximationLerch functionslinear independence of numbers over a number field

Mathematics Subject Classification ID

Hurwitz and Lerch zeta functions (11M35) Irrationality; linear independence over a field (11J72)

Related Items (2)

Linear Forms in Polylogarithms ⋮ Linear independence result for \(p\)-adic \(L\)-values

Cites Work

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• La fonction zêta de Riemann prend une infinité de valeurs irrationnelles aux entiers impairs
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