Deformations of Maass forms

DOI10.1090/S0025-5718-05-01746-1zbMath1079.11024arXivmath/0302214OpenAlexW2591709658MaRDI QIDQ5315428

David W. Farmer, Stefan Johansson

Publication date: 8 September 2005

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

Full work available at URL: https://arxiv.org/abs/math/0302214

zbMATH Keywords

eigenvaluecusp formPhillips-Sarnak conjectureMaaß\ form

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Fourier coefficients of automorphic forms (11F30) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items

DISSOLVING OF CUSP FORMS: HIGHER‐ORDER FERMI'S GOLDEN RULES ⋮ Noncongruence subgroups and Maass waveforms ⋮ Spectral correspondences for Maass waveforms on quaternion groups ⋮ Computations of Eisenstein series on Fuchsian groups ⋮ Computation of Maass waveforms with nontrivial multiplier systems ⋮ Higher Order Deformations of Hyperbolic Spectra

Cites Work

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• On cusp forms for co-finite subgroups of PSL(2,\({\mathbb{R}})\)
• Pseudo-laplaciens. I
• Pseudo-laplaciens. II
• A characterization of arithmetic Fuchsian groups
• Disappearance of cusp forms in special families
• Perturbation of scattering poles for hyperbolic surfaces and central values of \(L\)-series
• On Fourier Coefficients of Maass Waveforms for PSL(2, ℤ)
• Perturbation Theory for the Laplacian on Automorphic Functions
• The weyl theorem and the deformation of discrete groups
• Nonvanishing of \(L\)-values and the Weyl law