Fonction Zêta de Hurwitz p-adique et irrationalité

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dc.creatorBel, Pierre
dc.date2007-05-10
dc.date.accessioned2026-07-07T08:00:37Z
dc.date.available2026-07-07T08:00:37Z
dc.descriptionThe knowledge on irrationality of p-adic zeta values has recently progressed. The irrationality of zeta_2(2), ζ_2(3) and of a few other p-adic series of Dirichlet was obtained by F. Calegari. F. Beukers gave a more elementary proof of this result. In parallel, T. Rivoal has just obtained, in the complex case, some Pade approximants of Lerch functions. It is this work which, transposed to C_p, enables us to obtain results of irrationality and linear independence.
dc.identifierhttps://arxiv.org/abs/0705.1430
dc.identifierhttp://arxiv.org/abs/0705.1430
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128710
dc.subjectNumber Theory
dc.titleFonction Zêta de Hurwitz p-adique et irrationalité
dc.typetext

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