Maass forms and their $L$-functions

Details Maass forms and their $L$-functions Maass forms and their $L$-functions

2005-06-06

arxiv.org/abs/math/0506102v1

Mathematics

Number Theory

14 pages, 9 figures

Scientific paper

We present examples of Maass forms on Hecke congruence groups, giving low
eigenvalues on $\Gamma_0(p)$ for small prime $p$, and the first 1000
eigenvalues for $\Gamma_0(11)$. 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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