Glasnik Matematicki, Vol. 43, No.1 (2008), 1-6.

ON MOD p MODULAR REPRESENTATIONS WHICH ARE DEFINED OVER F_p

L. J. P. Kilford

Abstract.   In this paper, we will use techniques of Conrey, Farmer and Wallace to find spaces of modular forms S_k(Γ₀(N)) where all of the eigenspaces have Hecke eigenvalues defined over F_p, and give a heuristic that these are all such spaces.

2000 Mathematics Subject Classification.   11F11, 11F33.

Key words and phrases.   Modular forms, Hecke polynomials.

DOI: 10.3336/gm.43.1.01

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