Fonction Zêta de Hurwitz p-adique et irrationalité
Langue
fr
Document de travail - Pré-publication
Résumé en anglais
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 ...Lire la suite >
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.< Réduire
Mots clés en anglais
linear independence
irrationality
zeta
p-adic
Origine
Importé de halUnités de recherche