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

Muharem Avdispahic; Dzenan Gusic

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arXiv · 1410.7384

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

Muharem Avdispahic·Dzenan Gusic

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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.

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Muharem Avdispahic, Dzenan Gusic. 2014-10-27. On the logarithmic derivative of zeta functions for compact even-dimensional locally symmetric spaces. https://arxiv.org/abs/1410.7384

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