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arXiv · 1305.4016

A calculation of $L$-series in terms of Jacobi sums

Alvarez Arturo
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Abstract

Let us consider a cyclic extension of a function field defined over a finite field. For a character (non-trivial) of this extension, we calculate, as a linear combinations of products of Jacobi sums, the coefficients of the polynomial given by its Dirichtlet $L$-series. In the last section we show applications of this calculation.

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Alvarez Arturo. 2013-05-17. A calculation of $L$-series in terms of Jacobi sums. https://arxiv.org/abs/1305.4016

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