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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 228, Pages 67–76 (Mi znsl3694)  

This article is cited in 1 scientific paper (total in 1 paper)

Comparison of spectra

A. I. Vinogradov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (405 kB) Citations (1)
Abstract: The Selberg conjecture concerning the absence of small eigenvalues in the spectrum of congruence group is proved by the comparison of two different spectral expansions for one and the same arithmetic convolution averaged by a shift. Bibl. 6 titles.
Received: 20.04.1996
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 93, Issue 3, Pages 294–300
DOI: https://doi.org/10.1007/BF02364813
Bibliographic databases:
Document Type: Article
UDC: 511.334+512.754
Language: Russian
Citation: A. I. Vinogradov, “Comparison of spectra”, Probability and statistics. Part 1, Zap. Nauchn. Sem. POMI, 228, POMI, St. Petersburg, 1996, 67–76; J. Math. Sci. (New York), 93:3 (1999), 294–300
Citation in format AMSBIB
\Bibitem{Vin96}
\by A.~I.~Vinogradov
\paper Comparison of spectra
\inbook Probability and statistics. Part~1
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 228
\pages 67--76
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3694}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1449848}
\zmath{https://zbmath.org/?q=an:0924.11041}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 93
\issue 3
\pages 294--300
\crossref{https://doi.org/10.1007/BF02364813}
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  • https://www.mathnet.ru/eng/znsl/v228/p67
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