The Selberg zeta function and scattering poles for Kleinian groups

DOI10.1090/S0273-0979-1991-16024-6zbMath0723.11028OpenAlexW2006051651WikidataQ125753903 ScholiaQ125753903MaRDI QIDQ3211397

Peter A. Perry

Publication date: 1991

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1991-16024-6

zbMATH Keywords

tracenumber of polesLaplacianscattering operatorSelberg zeta functionlogarithmic derivativeconvex cocompact group

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) Other Dirichlet series and zeta functions (11M41) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items

The divisor of Selberg's zeta function for Kleinian groups. Appendix A by Charles Epstein, Lower bounds on the number of scattering poles

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