T-adic exponential sums over finite fields
| dc.creator | Liu, Chunlei | |
| dc.creator | Wan, Daqing | |
| dc.date | 2008-02-19 | |
| dc.date | 2009-01-07 | |
| dc.date.accessioned | 2026-07-07T12:24:46Z | |
| dc.date.available | 2026-07-07T12:24:46Z | |
| dc.description | $T$-adic exponential sums associated to a Laurent polynomial $f$ are introduced. They interpolate all classical $p^m$-power order exponential sums associated to $f$. The Hodge bound for the Newton polygon of $L$-functions of $T$-adic exponential sums is established. This bound enables us to determine, for all $m$, the Newton polygons of $L$-functions of $p^m$-power order exponential sums associated to an $f$ which is ordinary for $m=1$. Deeper properties of $L$-functions of $T$-adic exponential sums are also studied. Along the way, new open problems about the $T$-adic exponential sum itself are discussed. | |
| dc.description | new version, 21 pages, title is changed too | |
| dc.identifier | https://arxiv.org/abs/0802.2589 | |
| dc.identifier | http://arxiv.org/abs/0802.2589 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/214424 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.title | T-adic exponential sums over finite fields | |
| dc.type | text |