English

Maass forms and their $L$-functions

Number Theory 2007-05-23 v1

Abstract

We present examples of Maass forms on Hecke congruence groups, giving low eigenvalues on Γ0(p)\Gamma_0(p) for small prime pp, and the first 1000 eigenvalues for Γ0(11)\Gamma_0(11). We also present calculations of the LL-functions associated to the Maass forms and make comparisons to the predictions from random matrix theory.

Keywords

Cite

@article{arxiv.math/0506102,
  title  = {Maass forms and their $L$-functions},
  author = {David W. Farmer and Stefan Lemurell},
  journal= {arXiv preprint arXiv:math/0506102},
  year   = {2007}
}

Comments

14 pages, 9 figures