3 papers
math.NT2014
Order of zeta functions for compact odd-dimensional locally symmetric spaces
Muharem Avdispahic, Dzenan Gusic
We prove that the meromorphic continuations of the Ruelle and Selberg zeta functions considered by Bunke and Olbrich are of finite order not larger than the dimension of the underl…
math.NT2014
On the logarithmic derivative of zeta functions for compact even-dimensional locally symmetric spaces
Muharem Avdispahic, Dzenan Gusic
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…
math.NT2014
Distribution of the zeta functions singularities for compact even-dimensional locally symmetric spaces
Muharem Avdispahic, Dzenan Gusic
For compact, even-dimensional, locally symmetric spaces, we obtain precise estimates on the number of singularities of Selberg's and Ruelle's zeta functions considered by U. Bunke…