An inequality for the modified Selberg zeta-function

DOI10.1007/S11139-020-00265-YzbMath1475.30001OpenAlexW3046225415MaRDI QIDQ2046860

Igoris Belovas

Publication date: 19 August 2021

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-020-00265-y

zbMATH Keywords

inequalitiesSelberg zeta-functionClausen function

Mathematics Subject Classification ID

Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Inequalities in the complex plane (30A10)

Related Items (2)

An inequality for the Riemann zeta function ⋮ Limit theorems for numbers satisfying a class of triangular arrays

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The size of the Selberg zeta-function at places symmetric with respect to the line \(\mathrm{Re}(s)=1/2\)
• An inequality for the Riemann zeta function
• A short extension of two of Spira's results
• Calculation of the Ramanujan τ-Dirichlet Series
• An inequality for the Selberg zeta-function, associated to the compact Riemann surface
• An inequality for the modulus of the ratio of two complex gamma functions

This page was built for publication: An inequality for the modified Selberg zeta-function