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 |
|---|---|
| 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
- General Mathematics