An identity of Andrews, multiple integrals, and very-well-poised hypergeometric series

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dc.creatorKrattenthaler, Christian
dc.creatorRivoal, Tanguy
dc.date2003-12-08
dc.date2003-12-17
dc.date.accessioned2026-07-07T07:46:16Z
dc.date.available2026-07-07T07:46:16Z
dc.descriptionWe give a new proof of a theorem of Zudilin that equates a very-well-poised hypergeometric series and a particular multiple integral. This integral generalizes integrals of Vasilenko and Vasilyev which were proposed as tools in the study of the arithmetic behaviour of values of the Riemann zeta function at integers. Our proof is based on limiting cases of a basic hypergeometric identity of Andrews.
dc.description14 pages; AmS-LaTeX; several corrections, and a reference added
dc.identifierhttps://arxiv.org/abs/math/0312148
dc.identifierhttp://arxiv.org/abs/math/0312148
dc.identifierRamanujan J. 13 (2007), 203-219.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123771
dc.subjectClassical Analysis and ODEs
dc.subjectNumber Theory
dc.subjectPrimary 33C20; Secondary 11J72
dc.titleAn identity of Andrews, multiple integrals, and very-well-poised hypergeometric series
dc.typetext

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