On the Trace of Hecke Operators for Maass Forms for Congruence Subgroups
نویسندگان
چکیده
Let Eλ be a Hilbert space, whose elements are functions spanned by the eigenfunctions of the Laplace-Beltrami operator associated with an eigenvalue λ > 0. The norm of elements in this space is given by the Petersson inner product. In this paper, the trace of Hecke operators Tn acting on the space Eλ is computed for congruence subgroups Γ0(N) of square free level, which may be considered as the analogue of the Eichler-Selberg trace formula [11] for non-holomorphic cusp forms of weight zero.
منابع مشابه
On the Trace of Hecke Operators for Maass Forms for Congruence Subgroups Ii
Let Eλ be the Hilbert space spanned by the eigenfunctions of the nonEuclidean Laplacian associated with a positive discrete eigenvalue λ. In this paper, the trace of Hecke operators Tn acting on the space Eλ is computed for Hecke congruence subgroups Γ0(N) of non-square free level. This extends the computation of Conrey-Li [2], where only Hecke congruence subgroups Γ0(N) of square free level N ...
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