Constructing Weyl group multiple Dirichlet series
| dc.creator | Chinta, Gautam | |
| dc.creator | Gunnells, Paul E. | |
| dc.date | 2008-03-05 | |
| dc.date | 2009-05-14 | |
| dc.date.accessioned | 2026-07-07T13:14:15Z | |
| dc.date.available | 2026-07-07T13:14:15Z | |
| dc.description | Let Phi be a reduced root system of rank r. A Weyl group multiple Dirichlet series for Phi is a Dirichlet series in r complex variables s_1,...,s_r, initially converging for Re(s_i) sufficiently large, that has meromorphic continuation to C^r and satisfies functional equations under the transformations of C^r corresponding to the Weyl group of Phi. A heuristic definition of such series was given in [2], and they have been investigated in certain special cases in [2-6, 11-14]. In this paper we generalize results in [13] to construct Weyl group multiple Dirichlet series by a uniform method, and show in all cases that they have the expected properties. | |
| dc.description | incorporates referee's revisions | |
| dc.identifier | https://arxiv.org/abs/0803.0691 | |
| dc.identifier | http://arxiv.org/abs/0803.0691 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/230151 | |
| dc.subject | Number Theory | |
| dc.subject | Representation Theory | |
| dc.title | Constructing Weyl group multiple Dirichlet series | |
| dc.type | text |