Remainder term in the Weyl-Selberg asymptotic formula

DOI10.1007/BF01567587zbMath0465.30038OpenAlexW2313053320MaRDI QIDQ1154583

Alexei Venkov

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1007/bf01567587

zbMATH Keywords

eigenvalues of LaplacianSelberg's zeta functionFuchsian group of first kindWeyl-Selberg asymptotic formula

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (3)

A zeta function connected with the eigenvalues of the Laplace-Beltrami operator on the fundamental domain of the modular group ⋮ Zeros, eigenvalues and arithmetic ⋮ Eigenvalues of the Laplace-Beltrami operator and the von-Mangoldt function

Cites Work

• A nonarithmetic derivation of the Selberg trace formula
• The Riemann Hypothesis for Selberg's Zeta-Function and the Asymptotic Behavior of Eigenvalues of the Laplace Operator
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
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