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arXiv · 1107.4511

Values of certain L-series in positive characteristic

Federico Pellarin
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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

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Federico Pellarin. 2011-10-03. Values of certain L-series in positive characteristic. https://doi.org/10.4007/annals.2012.176.3.13

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