Maass forms and their $L$-functions

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We present examples of Maass forms on Hecke congruence groups, giving low eigenvalues on $Γ_0(p)$ for small prime $p$, and the first 1000 eigenvalues for $Γ_0(11)$. We also present calculations of the $L$-functions associated to the Maass forms and make comparisons to the predictions from random matrix theory.
14 pages, 9 figures

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Number Theory, 11M26; 11F11

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http://salesiana.dossiersoluciones.com/handle/123456789/75419

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0506102
 http://arxiv.org/abs/math/0506102

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arXiv