Weyl group multiple Dirichlet series constructed from quadratic characters

Mathematics – Number Theory

Scientific paper

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incorporated referee's comments

Scientific paper

10.1007/s00222-006-0014-1

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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