The \(a\)-points of the Selberg zeta-function are uniformly distributed modulo one

zbMath1319.11061MaRDI QIDQ2340890

Raivydas Šimėnas, Jörn Steuding, Ramūnas Garunkštis

Publication date: 21 April 2015

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

Full work available at URL: https://projecteuclid.org/euclid.ijm/1427897174

zbMATH Keywords

Riemann surfaceSelberg zeta-functionuniform distribution modulo one

Mathematics Subject Classification ID

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

Related Items (5)

The zeros of the Lerch zeta-function are uniformly distributed modulo one ⋮ The distribution of zeros of the derivative of the unmodified Selberg zeta-function associated to finite volume Riemann surfaces ⋮ Selberg zeta-function associated to compact Riemann surface is prime ⋮ On the uniform distribution of zero ordinates of Epstein zeta-functions ⋮ On the vertical distribution of the \(a\)-points of the Selberg zeta-function attached to a finite volume Riemann surface

Cites Work

• The \(a\)-values of the Selberg zeta-function
• On the distribution of imaginary parts of zeros of the Riemann zeta function. II
• Small eigenvalues of the Laplace operator on compact Riemann surfaces
• On the uniformity of the distribution of the zeros of the Riemann zeta function.

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