# 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} }

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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## 21 Citations

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