On Congruences Between Drinfeld Modular Forms
| dc.creator | Rastegar, Arash | |
| dc.date | 2004-05-27 | |
| dc.date.accessioned | 2026-07-07T05:08:38Z | |
| dc.date.available | 2026-07-07T05:08:38Z | |
| dc.description | Let ${\mathbf F}_q$ denote a finite field of characteristic $p$ and let $n$ be an effective divisor on the affine line over ${\mathbf F}_q$ and let $v$ be a point on the affine line outside $n$. In this paper, we get congruences between ${\mathbb Q}_l$-valued weight two $v$-old Drinfeld modular forms and $v$-new Drinfeld modular forms of level $vn$. In order to do this, we shall first construct a cokernel torsion-free injection from a full lattice in the space of $v$-old Drinfeld modular forms of level $vn$ into a full lattice in the space of all Drinfeld modular forms of level $vn$. To get this injection we use ideas introduced by Gekeler and Reversat on uniformization of jacobians of Drinfeld moduli curves. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/math/0405518 | |
| dc.identifier | http://arxiv.org/abs/math/0405518 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71343 | |
| dc.subject | Number Theory | |
| dc.subject | 11F52(Primary); 11F33(Secondary) | |
| dc.title | On Congruences Between Drinfeld Modular Forms | |
| dc.type | text |