Open AccessApproximate Formulas for Zeta Functions of Selberg’s Type in Quotients of SL4
Publication year - 2020
Publication title -
international journal of circuits, systems and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.156
H-Index - 13
ISSN - 1998-4464
DOI - 10.46300/9106.2020.14.4
Subject(s) - mathematics , quotient , selberg trace formula , type (biology) , pure mathematics , prime (order theory) , order (exchange) , lie group , logarithm , riemann zeta function , algebra over a field , mathematical analysis , combinatorics , ecology , finance , economics , biology
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.