On mod $p$ representations which are defined over $\Bbb F_p$: II

Reference : On mod $p$ representations which are defined over $\Bbb F_p$: II


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/11534

Title :	On mod $p$ representations which are defined over $\Bbb F_p$: II
Language :	English
Author, co-author :	Kilford, L. J. P. [> >]
	Wiese, Gabor [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	2010
Journal title :	Glasgow Mathematical Journal
Volume :	52
Issue/season :	2
Pages :	391--400
Peer reviewed :	Yes (verified by ORBi^lu)
Audience :	International
ISSN :	0017-0895
Abstract :	[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.
Permalink :	http://hdl.handle.net/10993/11534
DOI :	10.1017/S001708951000008X
Commentary :	2610982 (2011m:11090)

File(s) associated to this reference

Fulltext file(s):

	File	Commentary	Version	Size	Access
Open access	Glasgow-Published.pdf		Publisher postprint	100.74 kB	View/Open

All documents in ORBi^lu are protected by a user license.