On zeros of the derivative of the three-dimensional Selberg zeta function
Makoto Minamide
Source: Illinois J. Math. Volume 52, Number 4
(2008), 1165-1182.
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.
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Permanent link to this document: http://projecteuclid.org/euclid.ijm/1258554355
Zentralblatt MATH identifier: 05660651
Mathematical Reviews number (MathSciNet): MR2595760
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