Abstract
Using the Kuznetsov formula, we prove several density theorems for exceptional Hecke and Laplacian eigenvalues of Maaß cusp forms of weight or for the congruence subgroups , , and . These improve and extend upon results of Sarnak and Huxley, who prove similar but slightly weaker results via the Selberg trace formula.
Citation
Peter Humphries. "Density theorems for exceptional eigenvalues for congruence subgroups." Algebra Number Theory 12 (7) 1581 - 1610, 2018. https://doi.org/10.2140/ant.2018.12.1581
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