%0 Journal Article
%T On the p-parts of quadratic Weyl group multiple Dirichlet series
%A Gautam Chinta
%A Solomon Friedberg
%A Paul E. Gunnells
%J Mathematics
%D 2006
%I arXiv
%X Let Phi be a reduced root system of rank r. A Weyl group multiple Dirichlet series for Phi is a Dirichlet series in r complex variables s_1,...,s_r, initially converging for Re(s_i) sufficiently large, which has meromorphic continuation to C^r and satisfies functional equations under the transformations of C^r corresponding to the Weyl group of Phi. Two constructions of such series are available, one based on summing products of n-th order Gauss sums, the second based on averaging a certain group action over the Weyl group. In this paper we study these constructions and the relationship between them, and give evidence that when n=2 and Phi=A_r they yield the same multiple Dirichlet series.
%U http://arxiv.org/abs/math/0612595v1