On the p-parts of quadratic Weyl group multiple Dirichlet series

On the p-parts of quadratic Weyl group multiple Dirichlet series Title: On the p-parts of quadratic Weyl group multiple Dirichlet series
Authors: Gautam Chinta, Solomon Friedberg, and Paul E. Gunnells

Abstract: Weyl group multiple Dirichlet series are Dirichlet series in several complex variables with group of functional equations isomorphic to a Weyl group. We extend our previous work to show how to construct such series for simply-laced groups in the quadratic case with an additional twisting parameter. We explore the combinatorics of the local factors that arise, and relate them to weight polytopes.