Weyl group multiple Dirichlet series constructed from quadratic characters

Authors

G Chinta
PE Gunnells, University of Massachusetts - AmherstFollow

Publication Date

2007

Journal or Book Title

INVENTIONES MATHEMATICAE

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 having the properties predicted in [2].

Comments

This is the pre-published version harvested from ArXiv. The published version is located at http://www.springerlink.com/content/q77114k50w6t2858/

Pages

327-353

Volume

167

Issue

2

Recommended Citation

Chinta, G and Gunnells, PE, "Weyl group multiple Dirichlet series constructed from quadratic characters" (2007). INVENTIONES MATHEMATICAE. 399.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/399