L-Functions for Symmetric Products of Kloosterman Sums
| dc.creator | Fu, Lei | |
| dc.creator | Wan, Daqing | |
| dc.date | 2004-09-20 | |
| dc.date | 2004-12-04 | |
| dc.date.accessioned | 2026-07-07T05:12:23Z | |
| dc.date.available | 2026-07-07T05:12:23Z | |
| dc.description | The classical Kloosterman sums give rise to a Galois representation of the function field unramfied outside 0 and $\infty$. We study the local monodromy of this representation at $\infty$ using $l$-adic method based on the work of Deligne and Katz. As an application, we determine the degrees and the bad factors of the $L$-functions of the symmetric products of the above representation. Our results generalize some results of Robba obtained through $p$-adic method. | |
| dc.description | 25 pages | |
| dc.identifier | https://arxiv.org/abs/math/0409372 | |
| dc.identifier | http://arxiv.org/abs/math/0409372 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72555 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11L05, 14F20 | |
| dc.title | L-Functions for Symmetric Products of Kloosterman Sums | |
| dc.type | text |