Asymptotic densities of newforms
classification
🧮 math.NT
math.SP
keywords
countingfunctionnewformsasymptoticcalculatecocompactconditionscongruence
read the original 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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