On the logarithmic derivative of zeta functions for compact even-dimensional locally symmetric spaces

Abstract

We derive approximate formulas for the logarithmic de- rivative of the Selberg and Ruelle zeta functions over compact, even- dimensional, locally symmetric spaces of rank one. The obtained for- mulas are given in terms of the zeta-singularities.

arXiv admin note: substantial text overlap with arXiv:1410.7209