Abstract
We compute the divisor of Selberg's zeta function for convex cocompact, torsion-free discrete groups Γ acting on a real hyperbolic space of dimension n+1. The divisor is determined by the eigenvalues and scattering poles of the Laplacian on $X = Γ \backslash \mathbb{H}^{n+1}$ 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.
Citation
S. J. Patterson. Peter A. Perry. "The divisor of Selberg's zeta function for Kleinian groups." Duke Math. J. 106 (2) 321 - 390, 1 February 2001. https://doi.org/10.1215/S0012-7094-01-10624-8
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