Values of certain L-series in positive characteristic

Details Values of certain L-series in positive characteristic Values of certain L-series in positive characteristic

2011-07-22

arxiv.org/abs/1107.4511v4

Mathematics

Number Theory

Scientific paper

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

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