Arithmetic of positive characteristic L-series values in Tate algebras
Number Theory
2019-02-20 v4
Abstract
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.
Keywords
Cite
@article{arxiv.1402.0120,
title = {Arithmetic of positive characteristic L-series values in Tate algebras},
author = {Bruno Angles and Federico Pellarin and Floric Tavares-Ribeiro},
journal= {arXiv preprint arXiv:1402.0120},
year = {2019}
}
Comments
final version