On mod p representations which are defined over F_p: II
| dc.creator | Kilford, L. J. P. | |
| dc.creator | Wiese, Gabor | |
| dc.date | 2009-05-27 | |
| dc.date.accessioned | 2026-07-07T13:18:32Z | |
| dc.date.available | 2026-07-07T13:18:32Z | |
| dc.description | The behaviour of Hecke polynomials modulo p has been the subject of some study. In this note we show that, if p is a prime, the set of integers N such that the Hecke polynomials T^{N,χ}_{l,k} for all primes l, all weights k>1 and all characters χtaking values in {+1,-1} splits completely modulo p has density 0, unconditionally for p=2 and under the Cohen-Lenstra heuristics for odd p. The method of proof is based on the construction of suitable dihedral modular forms. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/0905.4372 | |
| dc.identifier | http://arxiv.org/abs/0905.4372 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/231456 | |
| dc.subject | Number Theory | |
| dc.subject | 11F33; 11F25, 11R29 | |
| dc.title | On mod p representations which are defined over F_p: II | |
| dc.type | text |