Weyl group multiple Dirichlet series constructed from quadratic characters |
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| Authors: | Gautam Chinta Paul E Gunnells |
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| Institution: | 1.Department of Mathematics,The City College of CUNY,New York,USA;2.Mathematisches Institut,Georg-August-Universit?t,G?ttingen,Germany;3.Department of Mathematics and Statistics,University of Massachusetts,Amherst,USA |
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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 having the properties predicted in 2]. |
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