Sums of $L$-functions over the rational function field
Number Theory
2007-06-20 v1
Abstract
Friedberg, Hoffstein and Lieman have constructed two related multiple Dirichlet series from quadratic and higher-order -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 -functions and the functional equation relating the two multiple Dirichlet series. We also point out a very simple correspondence between these series and their -parts.
Cite
@article{arxiv.0706.2735,
title = {Sums of $L$-functions over the rational function field},
author = {Gautam Chinta and Joel B. Mohler},
journal= {arXiv preprint arXiv:0706.2735},
year = {2007}
}