Asymptotic densities of newforms

Details Asymptotic densities of newforms Asymptotic densities of newforms

2002-01-04

arxiv.org/abs/math/0201029v1

Mathematics

Number Theory

Scientific paper

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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