Weyl Group Multiple Dirichlet Series of Type A2
نویسندگان
چکیده
A Weyl group multiple Dirichlet series is a Dirichlet series in several complex variables attached to a root system Φ. 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 Φ. In this paper we construct a Weyl group multiple Dirichlet series over the rational function field using n order Gauss sums attached to the root system of type A2. The basic technique is that of [10, 11]; namely, we 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. In memory of Serge Lang
منابع مشابه
Weyl Group Multiple Dirichlet
Abstract. A Weyl group multiple Dirichlet series is a Dirichlet series in several complex variables attached to a root system Φ. 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 Φ. In this paper we construct a Weyl group multiple Dirichlet series over the rational function field using n order...
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