On the smallest poles of Igusa's p-adic zeta functions
| dc.creator | Segers, Dirk | |
| dc.date | 2005-09-02 | |
| dc.date.accessioned | 2026-07-07T06:23:55Z | |
| dc.date.available | 2026-07-07T06:23:55Z | |
| dc.description | Let K be a p-adic field. We explore Igusa's p-adic zeta function, which is associated to a K-analytic function on an open and compact subset of K^n. First we deduce a formula for an important coefficient in the Laurent series of this meromorphic function at a candidate pole. Afterwards we use this formula to determine all values less than -1/2 for n=2 and less than -1 for n=3 which occur as the real part of a pole. | |
| dc.description | 27 pages | |
| dc.identifier | https://arxiv.org/abs/math/0509042 | |
| dc.identifier | http://arxiv.org/abs/math/0509042 | |
| dc.identifier | Math. Zeitschrift 252, 429-455 (2006) | |
| dc.identifier | doi:10.1007/s00209-005-0864-z | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/96377 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11D79; 11S80; 14B05; 14E15 | |
| dc.title | On the smallest poles of Igusa's p-adic zeta functions | |
| dc.type | text |