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Zapiski Nauchnykh Seminarov LOMI, 1981, Volume 109, Pages 93–130 (Mi znsl3921)  
This article is cited in 3 scientific papers (total in 3 papers)

Mean value of the Hecke series associated with the cusp forms of weight zero

N. V. Kuznetsov
Full-text PDF (8194 kB) Citations (3)
Abstract: In this work an asymptotic formula (with a powerlike residue of degree) is proved for the quadratic mean over the critical line of the Dirichlet series associated with the cusp form of weight zero for modular group. The proof is based on author's different formulas of summation for Kloosterman sums.
English version:
Journal of Soviet Mathematics, 1984, Volume 24, Issue 2, Pages 215–238
DOI: https://doi.org/10.1007/BF01087243
Bibliographic databases:
Document Type: Article
UDC: 511.3+517.43
Language: Russian
Citation: N. V. Kuznetsov, “Mean value of the Hecke series associated with the cusp forms of weight zero”, Differential geometry, Lie groups and mechanics. Part IV, Zap. Nauchn. Sem. LOMI, 109, "Nauka", Leningrad. Otdel., Leningrad, 1981, 93–130; J. Soviet Math., 24:2 (1984), 215–238
Citation in format AMSBIB
\Bibitem{Kuz81}
\by N.~V.~Kuznetsov
\paper Mean value of the Hecke series associated with the cusp forms of weight zero
\inbook Differential geometry, Lie groups and mechanics. Part~IV
\serial Zap. Nauchn. Sem. LOMI
\yr 1981
\vol 109
\pages 93--130
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl3921}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=629117}
\zmath{https://zbmath.org/?q=an:0534.10022|0446.10023}
\transl
\jour J. Soviet Math.
\yr 1984
\vol 24
\issue 2
\pages 215--238
\crossref{https://doi.org/10.1007/BF01087243}
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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
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