THE MEAN SQUARE OF THE LOGARITHMIC DERIVATIVE OF THE SELBERG ZETA FUNCTION FOR COCOMPACT DISCRETE SUBGROUPS

DOI10.2206/kyushujm.74.353zbMath1469.11340OpenAlexW3111036995MaRDI QIDQ4995440

Yutaro Aoki

Publication date: 24 June 2021

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2206/kyushujm.74.353

zbMATH Keywords

mean squarearithmetic cocompact groupslogarithmic derivative of Selberg zeta function

Mathematics Subject Classification ID

Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)

Related Items (2)

Square integrals of the logarithmic derivatives of Selberg’s zeta functions in the critical strip ⋮ On second moment of Selberg zeta-function for \(\sigma =1\)

Cites Work

• The Selberg trace formula for \(\mathrm{PSL}(2,\mathbb R)\). Vol. I
• On the pair correlation of the eigenvalues of the hyperbolic Laplacian for \(\text{PSL}(2,\mathbb Z)\setminus \mathbb{H}\).
• Gamma factors and Plancherel measures
• An explicit formula and its application to the Selberg trace formula
• Mean values of the logarithmic derivative of the Riemann zeta-function with applications to primes in short intervals
• Universality of the Selberg zeta-function forthe modular group
• Anwendung der Paar-Korrelations-Methode auf die Selberg'sche Zetafunktion
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