Spectrum of the Laplace–Beltrami operator for certain congruence subgroups of the modular group

DOI10.1090/S1061-0022-2012-01212-4zbMath1278.11087OpenAlexW2006370736MaRDI QIDQ2849064

Vladimir Vasil'Evich Golovchanskiĭ, M. N. Smotrov

Publication date: 16 September 2013

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-2012-01212-4

zbMATH Keywords

automorphic formsSelberg trace formulaLaplace-Beltrami operatorcongruence subgroupsSelberg's zeta function

Mathematics Subject Classification ID

Relationship to Lie algebras and finite simple groups (11F22) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Automorphic forms, one variable (11F12) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Cites Work

• An explicit formula for the number of classes of primitive hyperbolic elements in the group Γ₀(N)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Spectrum of the Laplace–Beltrami operator for certain congruence subgroups of the modular group