Values of certain L-series in positive characteristic
Number Theory
2013-09-19 v4
Abstract
We introduce a family of L-series specialising to both L-series associated to certain Dirichlet characters over F_q[T] and to integral values of Carlitz-Goss zeta function associated to F_q[T]. We prove, with the use of the theory of deformations of vectorial modular forms, a formula for their value at 1, as well as some arithmetic properties of other values at positive integers
Keywords
Cite
@article{arxiv.1107.4511,
title = {Values of certain L-series in positive characteristic},
author = {Federico Pellarin},
journal= {arXiv preprint arXiv:1107.4511},
year = {2013}
}