A calculation of L-series in terms of Jacobi sums

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• 作者：A. Á ; lvarez ; ^{aalvarez@usal.es" class="auth_mail" title="E-mail the corresponding author}
• 关键词：11G20 ; 14G10
• 刊名：Journal of Number Theory
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：159
• 期：Complete
• 页码：340-354
• 全文大小：342 K

文摘

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.