Arithmetic of positive characteristic L-series values in Tate algebras
  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. 
Bruno Angles (LMNO), Federico Pellarin (ICJ), Floric Tavares-Ribeiro
math.NT