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 Dokl. Akad. Nauk SSSR, 1977, Volume 233, Number 6, Pages 1021–1023 (Mi dan40429)

MATHEMATICS

On an asymptotic formula connected with the number of eigenvalues corresponding to odd eigenfunctions of the Laplace–Beltrami operator on a fundamental region of the modular group $\mathrm{PSL}(2,\mathbf{Z})$

A. B. Venkov

Leningrad Department of V. A. Steklov Institute of Mathematics, USSR Academy of Sciences

Full text: PDF file (300 kB)

Bibliographic databases:
UDC: 511.3+517.43+519.4
Presented: È. Ì. Âèíîãðàäîâ

Citation: A. B. Venkov, “On an asymptotic formula connected with the number of eigenvalues corresponding to odd eigenfunctions of the Laplace–Beltrami operator on a fundamental region of the modular group $\mathrm{PSL}(2,\mathbf{Z})$”, Dokl. Akad. Nauk SSSR, 233:6 (1977), 1021–1023

Citation in format AMSBIB
\Bibitem{Ven77} \by A.~B.~Venkov \paper On an asymptotic formula connected with the number of eigenvalues corresponding to odd eigenfunctions of the Laplace--Beltrami operator on a fundamental region of the modular group $\mathrm{PSL}(2,\mathbf{Z})$ \jour Dokl. Akad. Nauk SSSR \yr 1977 \vol 233 \issue 6 \pages 1021--1023 \mathnet{http://mi.mathnet.ru/dan40429} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=0476647} \zmath{https://zbmath.org/?q=an:0368.10022} 

• http://mi.mathnet.ru/eng/dan40429
• http://mi.mathnet.ru/eng/dan/v233/i6/p1021

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Citing articles on Google Scholar: Russian citations, English citations
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This publication is cited in the following articles:
1. A. B. Venkov, “Spectral theory of automorphic functions, the Selberg zeta-function, and some problems of analytic number theory and mathematical physics”, Russian Math. Surveys, 34:3 (1979), 79–153