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Weyl group multiple Dirichlet series constructed from quadratic characters

Gautam Chinta·Paul E. Gunnells
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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.

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Gautam Chinta, Paul E. Gunnells. 2006-08-14. Weyl group multiple Dirichlet series constructed from quadratic characters. https://doi.org/10.1007/s00222-006-0014-1

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