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Arithmetic of positive characteristic -series values in Tate algebras
No full textThe second author has recently introduced a new class of-series in the arithmetic theory of function fields over finite fields. We show that the values at one of these-series encode arithmetic information of a generalization of Drinfeld modules defined over Tate algebras that we introduce (the coefficients can be chosen in a Tate algebra). This enables us to generalize Anderson’s log-algebraicity theorem and an analogue of the Herbrand–Ribet theorem recently obtained by Taelman
