Well-poised hypergeometric series for Diophantine problems of zeta values

DOI10.5802/jtnb.415zbMath1156.11326OpenAlexW2083875405MaRDI QIDQ558151

Wadim Zudilin

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_593_0

zbMATH Keywords

well-poised hypergeometric series

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Transcendence (general theory) (11J81) Irrationality; linear independence over a field (11J72)

Related Items

An identity of Andrews, multiple integrals, and very-well-poised hypergeometric series, Symmetry groups of Bailey's transformations for \(_{10}\phi _{9}\)-series, Preface to: Rational approximants for the Euler constant, An Apéry-like continued fraction for π coth π, Séries hypergéométriques multiples et polyzêtas, Linear forms in zeta values arising from certain Sorokin-type integrals, On hypergeometric identities related to zeta values, Rhin-Viola groups and multiple integrals, Arithmetic of linear forms involving odd zeta values, Well-poised generation of Apéry-like recursions, Hypergeometric rational approximations to ζ(4), Two hypergeometric tales and a new irrationality measure of \(\zeta (2)\), Unnamed Item, Extensions of the classical theorems for very well-poised hypergeometric functions, A hypergeometric problem, A case study for \(\zeta (4)\)

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