Approximate Formulas for Zeta Functions of Selberg’s Type in Quotients of SL4
Keyword(s):
The goal of the paper is to derive some approximate formulas for the logarithmic derivative of several zata functions of Selberg’s type for compact symmetric spaces formed as quotients of the Lie group SL4 (R). Such formulas, known in literature as Tutchmarsh-Landau style approximate formulas, are usually applied in order to obtain prime geodesic theorems in various settings of underlying locally symmetric spaces.
Order of Selbergʼs and Ruelleʼs zeta functions for compact even-dimensional locally symmetric spaces
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