The divisor of Selberg's zeta function for Kleinian groups

S. J. Patterson, Peter A. Perry

Research output: Contribution to journalArticlepeer-review

108 Citations (SciVal)

Abstract

We compute the divisor of Selberg's zeta function for convex cocompact, torsion-free discrete groups T acting on a real hyperbolic space of dimension n+l. The divisor is determined by the eigenvalues and scattering poles of the Laplacian on X=Γ\ \sp n+1 together with the Euler characteristic of X compactified to a manifold with boundary. If n is even, the singularities of the zeta function associated to the Euler characteristic of X are identified using work of U. Bunke and M. Olbrich.

Original languageEnglish
Pages (from-to)321-390
Number of pages70
JournalDuke Mathematical Journal
Volume106
Issue number2
DOIs
StatePublished - 2001

ASJC Scopus subject areas

  • Mathematics (all)

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