Sums of L-functions over the rational function field

2007/06/19 by Gautam Chinta, Chinta, Gautam, Joel B. Mohler +1
Mathematics · #11M38 #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT) #math.NT #msc:11M38

paper · pdf · doi:10.48550/arxiv.0706.2735

13 pages

arxiv created 2007/06/19 · openalex publication_date 2007/06/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Friedberg, Hoffstein and Lieman have constructed two related multiple Dirichlet series from quadratic and higher-order L-functions and Gauss sums. We compute these multiple Dirichlet series explicitly in the case of the rational function field. This is done by utilizing the functional equation of the L-functions and the functional equation relating the two multiple Dirichlet series. We also point out a very simple correspondence between these series and their p-parts.

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