%0 Journal Article
%T Arithmetic of positive characteristic L-series values in Tate algebras
%A Bruno Angles
%A Federico Pellarin
%A Floric Tavares-Ribeiro
%J Mathematics
%D 2014
%I arXiv
%X The second author has recently introduced a new class of L-series in the arithmetic theory of function fields over finite fields. We show that the value at one of these L-series encode arithmetic informations of certain Drinfeld modules defined over Tate algebras. This enables us to generalize Anderson's log-algebraicity Theorem and Taelman's Herbrand-Ribet Theorem.
%U http://arxiv.org/abs/1402.0120v4