On the p-parts of quadratic Weyl group multiple Dirichlet series
| dc.creator | Chinta, Gautam | |
| dc.creator | Friedberg, Solomon | |
| dc.creator | Gunnells, Paul E. | |
| dc.date | 2006-12-20 | |
| dc.date.accessioned | 2026-07-07T07:36:21Z | |
| dc.date.available | 2026-07-07T07:36:21Z | |
| 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, which has meromorphic continuation to C^r and satisfies functional equations under the transformations of C^r corresponding to the Weyl group of Phi. Two constructions of such series are available, one based on summing products of n-th order Gauss sums, the second based on averaging a certain group action over the Weyl group. In this paper we study these constructions and the relationship between them, and give evidence that when n=2 and Phi=A_r they yield the same multiple Dirichlet series. | |
| dc.identifier | https://arxiv.org/abs/math/0612595 | |
| dc.identifier | http://arxiv.org/abs/math/0612595 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120395 | |
| dc.subject | Number Theory | |
| dc.subject | 11F66, 11M41 | |
| dc.title | On the p-parts of quadratic Weyl group multiple Dirichlet series | |
| dc.type | text |