A Weyl group multiple Dirichlet seriesis a Dirichlet series in several complex variables attached to a root system Φ. The number of variables equals the rank rof the root system, and the series satisfies a group of functional equations isomorphic to the Weyl group Wof Φ. 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 that of [11, 10]; namely, we construct a rational function in rvariables invariant under a certain action of W, and use this to build a local factor of the global series.
CITATION STYLE
Chinta, G., & Gunnells, P. E. (2014). Weyl group multiple Dirichlet series of type A2. In Number Theory, Analysis and Geometry: In Memory of Serge Lang (Vol. 9781461412601, pp. 125–142). Springer US. https://doi.org/10.1007/978-1-4614-1260-1_6
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