Values of certain L-series in positive characteristic
Abstract
We introduce a family of L-series specialising to both L-series associated to certain Dirichlet characters over Fq[T] and to integral values of Carlitz-Goss zeta function associated to Fq[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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