On mod p modular representations which are defined over \F_p

L. J. P. Kilford

On mod p modular representations which are defined over \F_p

Number Theory 2007-11-19 v2

Authors: L. J. P. Kilford

Abstract

In this paper, we use techniques of Conrey, Farmer and Wallace to find spaces of modular forms $S_k(\Gamma_0(N))$ where all of the eigenspaces have Hecke eigenvalues defined over $\F_p$ , and give a heuristic indicating that these are all such spaces.

Keywords

modular forms

Cite

@article{arxiv.math/0606052,
  title  = {On mod p modular representations which are defined over \F_p},
  author = {L. J. P. Kilford},
  journal= {arXiv preprint arXiv:math/0606052},
  year   = {2007}
}

Comments

This is the final version, accepted and to appear in Glasnik Matematicki

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