Introduction to p-adic q-difference equations (weak Frobenius structure and transfer theorems)
| dc.creator | Di Vizio, Lucia | |
| dc.date | 2002-11-14 | |
| dc.date | 2003-05-22 | |
| dc.date.accessioned | 2026-07-07T04:52:55Z | |
| dc.date.available | 2026-07-07T04:52:55Z | |
| dc.description | Inspired by the theory of p-adic differential equations, this paper introduces an analogous theory for q-difference equations over a local field, when |q|=1. We define some basic concepts, for instance the generic radius of convergence, introduce technical tools, such as a twisted Taylor formula for analytic functions, and prove some fundamental statements, such as an effective bound theorem, the existence of a weak Frobenius structure and a transfer theorem in regular singular disks. | |
| dc.description | 59 pages. Refereed version: some inaccuracies have been corrected. To appear in Geometric Aspects of Dwork's Theory (Dwork Trimester proceedings) | |
| dc.identifier | https://arxiv.org/abs/math/0211217 | |
| dc.identifier | http://arxiv.org/abs/math/0211217 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65649 | |
| dc.subject | Number Theory | |
| dc.subject | Quantum Algebra | |
| dc.subject | 12H10, 12H25, 39A13, 65Q05 | |
| dc.title | Introduction to p-adic q-difference equations (weak Frobenius structure and transfer theorems) | |
| dc.type | text |