On the distribution of eigenvalues of Maass forms on certain moonshine groups

DOI10.1090/S0025-5718-2014-02823-8zbMath1314.11037arXiv1301.1574MaRDI QIDQ3189464

Holger Then, Lejla Smajlovic, Jay A. Jorgenson

Publication date: 10 September 2014

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.1574

zbMATH Keywords

LaplacianWeyl's lawarithmetic subgroupMaass formmoonshine group

Mathematics Subject Classification ID

Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Spectral theory; eigenvalue problems on manifolds (58C40) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16)

Related Items (8)

Applications of Kronecker's limit formula for elliptic Eisenstein series ⋮ Certain aspects of holomorphic function theory on some genus-zero arithmetic groups ⋮ Turing's method for the Selberg zeta-function ⋮ Noncongruence subgroups and Maass waveforms ⋮ Kronecker’s Limit Formula, Holomorphic Modular Functions, andq-Expansions on Certain Arithmetic Groups ⋮ Some results in study of Kronecker limit formula and Dedekind sums ⋮ ON THE DISTRIBUTION OF ZEROS OF THE DERIVATIVE OF SELBERG’S ZETA FUNCTION ASSOCIATED TO FINITE VOLUME RIEMANN SURFACES ⋮ An approach for computing generators of class fields of imaginary quadratic number fields using the Schwarzian derivative

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