Hecke Operators for Period Functions for Congruence Subgroups

Details Hecke Operators for Period Functions for Congruence Subgroups Hecke Operators for Period Functions for Congruence Subgroups

2006-03-23

arxiv.org/abs/math/0603566v1

Mathematics

Number Theory

15 pages, 2 explicit examples

Scientific paper

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 $SL(2,Z)$ and the congruence subgroup $\Gamma_0(2)$. [Mu] Tobias M\"uhlenbruch. Hecke operators on period functions for $\Gamma_0(N)$. Journal of Number Theory. http://dx.doi.org/10.1016/j.jnt.2005.09.003

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