On the trace of Hecke operators for Maass forms for congruence subgroups II

Details On the trace of Hecke operators for Maass forms for congruence subgroups II On the trace of Hecke operators for Maass forms for congruence subgroups II

2001-07-11

arxiv.org/abs/math/0107084v1

Mathematics

Number Theory

32 pages

Scientific paper

Let E_lambda be the Hilbert space spanned by the eigenfunctions of the non-Euclidean Laplacian associated with a positive discrete eigenvalue lambda. In this paper, the trace of Hecke operators T_n acting on the space E_lambda is computed for Hecke congruence subgroups Gamma_0(N) of non-square free level. This extends the computation of Conrey-Li [2], where only Hecke congruence subgroups Gamma_0(N) of square free level N were considered.

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