A formula for the logarithmic derivative of Selberg's zeta function

DOI10.2969/JMSJ/04130463zbMATH Open0684.10039OpenAlexW2012069848MaRDI QIDQ1825239

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Publication date: 1989

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/04130463

zbMATH Keywords

functional equationSelberg trace formulaSelberg zeta functionpolesresidueslogarithmic derivative

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Automorphic forms, one variable (11F12) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Hurwitz and Lerch zeta functions (11M35)

Related Items (4)

Zeta functions and periodic orbit theory: A review ⋮ Derivation of logarithmic integrals expressed in teams of the Hurwitz zeta function ⋮ Über eine arithmetische Aufspaltung der logarithmischen Ableitung Selbergscher Zetafunktionen ⋮ Bounding the log-derivative of the zeta-function

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