Fonction Z\eta de Hurwitz p-adique et irrationalit\'e
Abstract
The knowledge on irrationality of p-adic zeta values has recently progressed. The irrationality of zeta2(2), ζ2(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 Cp, enables us to obtain results of irrationality and linear independence.
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