Weyl group multiple Dirichlet series of type A_2

dc.creatorChinta, Gautam
dc.creatorGunnells, Paul E.
dc.date2007-03-01
dc.date.accessioned2026-07-07T07:49:35Z
dc.date.available2026-07-07T07:49:35Z
dc.descriptionA Weyl group multiple Dirichlet series is a Dirichlet series in several complex variables attached to a root system Phi. The number of variables equals the rank r of the root system, and the series satisfies a group of functional equations isomorphic to the Weyl group W of Phi. In this paper we construct a Weyl group multiple Dirichlet series over the rational function field using n-th order Gauss sums attached to the root system of type A_2. The basic technique is to construct a rational function in r variables invariant under a certain action of W, and use this to build a ``local factor'' of the global series.
dc.identifierhttps://arxiv.org/abs/math/0703040
dc.identifierhttp://arxiv.org/abs/math/0703040
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124909
dc.subjectNumber Theory
dc.subject11F66
dc.titleWeyl group multiple Dirichlet series of type A_2
dc.typetext

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