Slopes of overconvergent 2-adic modular forms
| dc.creator | Buzzard, Kevin | |
| dc.creator | Calegari, Frank | |
| dc.date | 2003-11-20 | |
| dc.date.accessioned | 2026-07-07T05:03:06Z | |
| dc.date.available | 2026-07-07T05:03:06Z | |
| dc.description | The slope of a p-adic overconvergent eigenform of weight k is the p-adic valuation of its U_p eigenvalue. We find the slope of all 2-adic finite slope overconvergent eigenforms of tame level 1 and weight 0. As a consequence we prove that any finite slope 2-adic overconvergent eigenform of tame level 1 and weight 0 has coefficients in Q_2. These results provide evidence towards conjectures of the first author that predict the slopes of classical p-adic modular forms under a mild ``Gamma_0(N)''-regular hypothesis on p. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/0311364 | |
| dc.identifier | http://arxiv.org/abs/math/0311364 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69280 | |
| dc.subject | Number Theory | |
| dc.subject | 11F11 | |
| dc.title | Slopes of overconvergent 2-adic modular forms | |
| dc.type | text |