Gautam Chinta, Joel B. Mohler
Published 2007-06-19Version 1
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.
Zeroes of $L$-series in characteristic $p$
Functional equations for zeta functions of $\mathbb{F}_1$-schemes
Functional equation, upper bounds and analogue of Lindelöf hypothesis for the Barnes double zeta-function
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