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Asymptotic densities of newforms

Morten Skarsholm Risager
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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.

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Morten Skarsholm Risager. 2002-01-04. Asymptotic densities of newforms. https://arxiv.org/abs/math/0201029

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