Eigenvalues of the Laplace-Beltrami operator and the von-Mangoldt function

DOI10.3792/pjaa.69.125zbMath0811.11036OpenAlexW2071227744MaRDI QIDQ1320650

Akio Fujii

Publication date: 2 May 1995

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.69.125

zbMATH Keywords

spectrum of the LaplacianPerron formulavon-Mangoldt functionlogarithmic derivative of the Riemann zeta-functionlogarithmic derivative of the Selberg zeta-function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Cites Work

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