The divisor of Selberg's zeta function for Kleinian groups. Appendix A by Charles Epstein

DOI10.1215/S0012-7094-01-10624-8zbMath1012.11083OpenAlexW2090111652MaRDI QIDQ1847799

Peter A. Perry, Samuel James Patterson

Publication date: 27 October 2002

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

Full work available at URL: https://doi.org/10.1215/s0012-7094-01-10624-8

zbMATH Keywords

eigenvalues divisor Euler characteristic geodesic flow symbolic dynamics Laplacian Selberg zeta-function scattering poles convex cocompact hyperbolic manifolds

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Discrete subgroups of Lie groups (22E40) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

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