Asymptotic densities of newforms
Morten Skarsholm Risager
Abstract
We define the counting function for non-analytic (Maass) newforms of Hecke congruence groupsGamma0(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.
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