Abstract
In this article, we study the distribution of zeros of the derivative of the Selberg zeta function for compact three-dimensional hyperbolic spaces. We obtain an asymptotic formula for the counting function of its zeros. This is a three-dimensional version of the celebrated work of Wenzhi Luo. We also deduce other asymptotic formulas relating to its zeros from the above formula.
Citation
Makoto Minamide. "On zeros of the derivative of the three-dimensional Selberg zeta function." Illinois J. Math. 52 (4) 1165 - 1182, Winter 2008. https://doi.org/10.1215/ijm/1258554355
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