Asymptotic densities of newforms
Number Theory
2007-05-23 v1 Spectral Theory
Abstract
We define the counting function for non-analytic (Maass) newforms of Hecke congruence groups_Gamma_0(M)_. We then calculate the three main terms of this counting function and give necessary and sufficient conditions on M for this counting function to have the same shape as if it were counting eigenvalues related to a cocompact group.
Keywords
Cite
@article{arxiv.math/0201029,
title = {Asymptotic densities of newforms},
author = {Morten Skarsholm Risager},
journal= {arXiv preprint arXiv:math/0201029},
year = {2007}
}