A bound for the ratio of consecutive eigenvalues of the hyperbolic Laplacian for the modular groups

DOI10.1515/form.2001.029zbMath0989.11028OpenAlexW2093955373MaRDI QIDQ2753160

Koji Chinen

Publication date: 29 October 2001

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/form.2001.029

zbMATH Keywords

Selberg trace formulagrowth estimate

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Cites Work

• The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
• A sharp bound for the ratio of the first two eigenvalues of Dirichlet Laplacians and extensions
• Proof of the Payne-Pólya-Weinberger conjecture
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A bound for the ratio of consecutive eigenvalues of the hyperbolic Laplacian for the modular groups