A calculation of L-series in terms of Jacobi sums

2013/05/17 by Arturo, Alvarez
#11G20 #14G10 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1305.4016

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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