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

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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.
32 pages

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Number Theory, 11F37, 11F72, 42A16

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http://salesiana.dossiersoluciones.com/handle/123456789/61835

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0107084
 http://arxiv.org/abs/math/0107084

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arXiv