Affiliation:
1. University of Sarajevo, Faculty of Sciences and Mathematics, Department of Mathematics, Sarajevo, BOSNIA AND HERZEGOVINA
Abstract
We obtain precise estimates for the number of singularities of Selberg’s and Ruelle’s zeta functions for compact, higher-dimensional, locally symmetric Riemannian manifolds of strictly negative sectional curvature. The methods applied in this research represent a generalization of the methods described in the case of a compact Riemann surface. In particular, this includes an application of the Phragmen-Lindelof theorem, the variation of the argument of certain zeta functions, as well as the use of some classical analytic number theory techniques.
Publisher
World Scientific and Engineering Academy and Society (WSEAS)
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