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Zapiski Nauchnykh Seminarov LOMI, 1979, Volume 82, Pages 136–143 (Mi znsl2097)  

This article is cited in 3 scientific papers (total in 3 papers)

Estimates of the eigenvalues of Hecke operators in the space of cusp forms of weight 0

N. V. Proskurin
Full-text PDF (600 kB) Citations (3)
Abstract: From the summation formulas for general Kloosterman sums and from Weil's estimates, one derives nontrivial estimates for the eigenvalues of Hecke operators, acting in the Hilbert space of parabolic forms of weight 0 relative to the group $\Gamma_0(N)$.
English version:
Journal of Soviet Mathematics, 1982, Volume 18, Issue 6, Pages 951–957
DOI: https://doi.org/10.1007/BF01763966
Bibliographic databases:
UDC: 511.334
Language: Russian
Citation: N. V. Proskurin, “Estimates of the eigenvalues of Hecke operators in the space of cusp forms of weight 0”, Studies in number theory. Part 5, Zap. Nauchn. Sem. LOMI, 82, "Nauka", Leningrad. Otdel., Leningrad, 1979, 136–143; J. Soviet Math., 18:6 (1982), 951–957
Citation in format AMSBIB
\Bibitem{Pro79}
\by N.~V.~Proskurin
\paper Estimates of the eigenvalues of Hecke operators in the space of cusp forms of weight~0
\inbook Studies in number theory. Part~5
\serial Zap. Nauchn. Sem. LOMI
\yr 1979
\vol 82
\pages 136--143
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl2097}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=537027}
\zmath{https://zbmath.org/?q=an:0481.10021|0425.10028}
\transl
\jour J. Soviet Math.
\yr 1982
\vol 18
\issue 6
\pages 951--957
\crossref{https://doi.org/10.1007/BF01763966}
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  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Записки научных семинаров ПОМИ
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