Maass forms and their $L$-functions

Abstract

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.

14 pages, 9 figures