On the distribution of the \(a\)-values of the Selberg zeta-function associated to finite volume Riemann surfaces

DOI10.1016/j.jnt.2016.09.034zbMath1419.11112OpenAlexW2552276755MaRDI QIDQ730031

Raivydas Šimėnas, Ramūnas Garunkštis

Publication date: 23 December 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.09.034

zbMATH Keywords

Selberg zeta-function\(a\)-valuesfinite volume Riemann surfaces

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)

Related Items (4)

The distribution of zeros of the derivative of the unmodified Selberg zeta-function associated to finite volume Riemann surfaces ⋮ Zeros of the higher-order derivatives of the functions belonging to the extended Selberg class ⋮ On second moment of Selberg zeta-function for \(\sigma =1\) ⋮ On the vertical distribution of the \(a\)-points of the Selberg zeta-function attached to a finite volume Riemann surface

Cites Work

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• The \(a\)-values of the Selberg zeta-function
• On cusp forms for co-finite subgroups of PSL(2,\({\mathbb{R}})\)
• The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
• The Selberg trace formula for \(\mathrm{PSL}(2,\mathbb R)\). Vol. I
• ON THE DISTRIBUTION OF ZEROS OF THE DERIVATIVE OF SELBERG’S ZETA FUNCTION ASSOCIATED TO FINITE VOLUME RIEMANN SURFACES
• On Distribution of Poles of Eisenstein Series and the Length Spectrum of Hyperbolic Manifolds
• Almost All Roots of ζ( s ) = a Are Arbitrarily Close to σ = 1/2
• The weyl theorem and the deformation of discrete groups

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