The Selberg trace formula and the Selberg zeta-function for cocompact discrete subgroups of \(SO_ +(1,n)\)

DOI10.1007/BF01075633zbMath0846.11033MaRDI QIDQ1324674

L. B. Parnovskij

Publication date: 6 July 1994

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

functional equationhyperbolic spaceprime geodesic theoremSelberg's trace formulaSelberg's zeta-function

Mathematics Subject Classification ID

Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Representations of Lie and linear algebraic groups over local fields (22E50) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (3)

Gallagherian PGT on some compact Riemannian manifolds of negative curvature ⋮ Kissing numbers of closed hyperbolic manifolds ⋮ Differences of the Selberg trace formula and Selberg type zeta functions for Hilbert modular surfaces

Cites Work

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• Zur analytischen Theorie hyperbolischer Raumformen und Bewegungsgruppen
• Zeta functions of Selberg's type for compact space forms of symmetric spaces of rank one
• Discontinuous groups on three-dimensional hyperbolic space: analytical theory and arithmetic applications

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