On mod p modular representations which are defined over \F_p
Abstract
Description
In this paper, we use techniques of Conrey, Farmer and Wallace to find spaces of modular forms $S_k(Γ_0(N))$ where all of the eigenspaces have Hecke eigenvalues defined over $\F_p$, and give a heuristic indicating that these are all such spaces.
This is the final version, accepted and to appear in Glasnik Matematicki
This is the final version, accepted and to appear in Glasnik Matematicki