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 mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
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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