Slopes of 2-adic overconvergent modular forms with small level
| dc.creator | Kilford, L J P | |
| dc.date | 2003-02-13 | |
| dc.date.accessioned | 2026-07-07T04:55:16Z | |
| dc.date.available | 2026-07-07T04:55:16Z | |
| dc.description | Let $τ$ be the primitive Dirichlet character of conductor 4, let $χ$ be the primitive even Dirichlet character of conductor 8 and let $k$ be an integer. Then the $U_2$ operator acting on cuspidal overconvergent modular forms of weight $2k+1$ and character $τ$ has slopes in the arithmetic progression ${2,4,...,2n,...}$, and the $U_2$ operator acting on cuspidal overconvergent modular forms of weight $k$ and character $χ\cdot τ^k$ has slopes in the arithmetic progression ${1,2,...,n,...}$. We then show that the characteristic polynomials of the Hecke operators $U_2$ and $T_p$ acting on the space of classical cusp forms of weight $k$ and character either $τ$ or $χ\cdotτ^k$ split completely over $\qtwo$. | |
| dc.identifier | https://arxiv.org/abs/math/0302153 | |
| dc.identifier | http://arxiv.org/abs/math/0302153 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66520 | |
| dc.subject | Number Theory | |
| dc.subject | 11F11 | |
| dc.title | Slopes of 2-adic overconvergent modular forms with small level | |
| dc.type | text |