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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