Weyl group multiple Dirichlet series constructed from quadratic characters
Number Theory
2009-11-11 v2 Representation Theory
Abstract
We construct multiple Dirichlet series in several complex variables whose coefficients involve quadratic residue symbols. The series are shown to have an analytic continuation and satisfy a certain group of functional equations. These are the first examples of an infinite collection of unstable Weyl group multiple Dirichlet series in greater than two variables.
Cite
@article{arxiv.math/0604449,
title = {Weyl group multiple Dirichlet series constructed from quadratic characters},
author = {Gautam Chinta and Paul E. Gunnells},
journal= {arXiv preprint arXiv:math/0604449},
year = {2009}
}
Comments
incorporated referee's comments