# Weyl group multiple Dirichlet series of type C

@article{Beineke2010WeylGM,
title={Weyl group multiple Dirichlet series of type C},
author={Jennifer Beineke and Ben Brubaker and Sharon M. Frechette},
journal={Pacific Journal of Mathematics},
year={2010},
volume={254},
pages={11-46}
}
• Published 4 March 2010
• Mathematics
• Pacific Journal of Mathematics
We develop the theory of Weyl group multiple Dirichlet series for root systems of type C. For a root system of rank r and a positive integer n, these are Dirichlet series in r complex variables with analytic continuation and functional equations isomorphic to the associated Weyl group. They conjecturally arise as Whittaker coefficients of Eisenstein series on a metaplectic group with cover degree n. For type C and n odd, we construct an infinite family of Dirichlet series and prove they satisfy…

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