Dissolving a cusp form in the presence of multiplicities

DOI10.1215/S0012-7094-97-08810-4zbMath0924.11040MaRDI QIDQ1362077

Christopher M. Judge, Ralph S. Phillips

Publication date: 18 September 1997

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Maaß cusp formPhillips-Sarnak conjecturedissolution of cusp forms

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items

Tracking eigenvalues to the frontier of moduli space. I: Convergence and spectral accumulation

Cites Work

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• Perturbation theory for twisted automorphic functions
• On cusp forms for co-finite subgroups of PSL(2,\({\mathbb{R}})\)
• Pseudo-laplaciens. II
• Spectral limits for hyperbolic surfaces. I
• Spectral limits for hyperbolic surfaces. II
• On the nonvanishing of Rankin-Selberg \(L\)-functions
• Cusp forms for character varieties
• Disappearance of cusp forms in special families
• Maass cusp forms
• Scattering Theory for Automorphic Functions. (AM-87)
• On the Existence of Maass Cusp Forms on Hyperbolic Surfaces with Cone Points
• Riemannian geometry.