Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 114

On Selberg Zeta Functions, Topological Zeroes and Determinant Formula

Ulrich Broeker

Let X be a compact locally symmetric space form of a noncompact symmetric space G/K of rank one. So X is of the form X=Gammaackslash G/K , where G is a real connected noncompact semisimple Lie group of real rank one, K is a maximal compact and Gamma a cocompact and torsionfree discrete subgroup of G. We additionally denote by A the noncompact abelian subgroup of G arising in the Iwasawa decomposition G=KAN of G and by M the centralizer of A in K.

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