Fonction Zêta de Hurwitz p-adique et irrationalité

hal.structure.identifier	Théorie des Nombres et Algorithmique Arithmétique [A2X]
dc.contributor.author	BEL, Pierre
dc.description.abstractEn	The knowledge on irrationality of p-adic zeta values has recently progressed. The irrationality of zeta_2(2), \zeta_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.language.iso	fr
dc.subject.en	linear independence
dc.subject.en	irrationality
dc.subject.en	zeta
dc.subject.en	p-adic
dc.title	Fonction Zêta de Hurwitz p-adique et irrationalité
dc.type	Document de travail - Pré-publication
dc.subject.hal	Mathématiques [math]/Théorie des nombres [math.NT]
dc.identifier.arxiv	0705.1430
hal.identifier	hal-00145418
hal.version	1
hal.audience	Non spécifiée
hal.origin.link	https://hal.archives-ouvertes.fr//hal-00145418v1
bordeaux.COinS	ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.title=Fonction%20Z%C3%AAta%20de%20Hurwitz%20p-adique%20et%20irrationalit%C3%A9&rft.atitle=Fonction%20Z%C3%AAta%20de%20Hurwitz%20p-adique%20et%20irrationalit%C3%A9&rft.au=BEL,%20Pierre&rft.genre=preprint

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