Reference : On mod $p$ representations which are defined over $\Bbb F_p$: II |
Scientific journals : Article | |||
Physical, chemical, mathematical & earth Sciences : Mathematics | |||
http://hdl.handle.net/10993/11534 | |||
On mod $p$ representations which are defined over $\Bbb F_p$: II | |
English | |
Kilford, L. J. P. [> >] | |
Wiese, Gabor ![]() | |
2010 | |
Glasgow Mathematical Journal | |
52 | |
2 | |
391--400 | |
Yes (verified by ORBilu) | |
International | |
0017-0895 | |
[en] 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,\chi}_{l,k} for all primes l, all weights k>1 and all characters \chi taking 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. | |
http://hdl.handle.net/10993/11534 | |
10.1017/S001708951000008X | |
2610982 (2011m:11090) |
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