SOME HYPERGEOMETRIC INTEGRALS FOR LINEAR FORMS IN ZETA VALUES

DOI10.1017/S0004972718000503zbMath1441.11210arXiv1804.04129WikidataQ129512025 ScholiaQ129512025MaRDI QIDQ4559261

Wadim Zudilin

Publication date: 3 December 2018

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.04129

zbMATH Keywords

Hurwitz zeta functionhypergeometric integralsintegral representation

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Generalized hypergeometric series, ({}_pF_q) (33C20) Irrationality; linear independence over a field (11J72)

Cites Work

• One of the odd zeta values from \(\zeta(5)\) to \(\zeta(25)\) is irrational. By elementary means

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