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Maass forms and their $L$-functions

David W. Farmer·Stefan Lemurell
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Abstract

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.

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David W. Farmer, Stefan Lemurell. 2005-06-06. Maass forms and their $L$-functions. https://arxiv.org/abs/math/0506102

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