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 language | English |
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Pages (from-to) | 321-390 |
Number of pages | 70 |
Journal | Duke Mathematical Journal |
Volume | 106 |
Issue number | 2 |
DOIs | |
State | Published - 2001 |
ASJC Scopus subject areas
- Mathematics (all)