Zapiski Nauchnykh Seminarov LOMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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}
Linking options:
  • https://www.mathnet.ru/eng/znsl3921
  • https://www.mathnet.ru/eng/znsl/v109/p93
    • 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
    Statistics & downloads:
    Abstract page:217
    Full-text PDF :91
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024