English

Hecke Operators for Period Functions for Congruence Subgroups

Number Theory 2009-04-20 v1

Abstract

This is basically a summary of [Mu]. The focus of the paper is the explicit computation of Hecke operators for period functions. In particular we compute the matrix representations of the 2nd Hecke operator on period functions for the full modular group SL(2,Z)SL(2,Z) and the congruence subgroup Γ0(2)\Gamma_0(2). [Mu] Tobias M\"uhlenbruch. Hecke operators on period functions for Γ0(N)\Gamma_0(N). Journal of Number Theory. http://dx.doi.org/10.1016/j.jnt.2005.09.003

Keywords

Cite

@article{arxiv.math/0603566,
  title  = {Hecke Operators for Period Functions for Congruence Subgroups},
  author = {Tobias Mühlenbruch},
  journal= {arXiv preprint arXiv:math/0603566},
  year   = {2009}
}

Comments

15 pages, 2 explicit examples