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Results in Mathematics

, Volume 18, Issue 1–2, pp 120–124 | Cite as

An Elementary Proof of a Formula of Kuznecov for Kloosterman Sums

  • Roland Matthes
Article

Keywords

Direct Consequence Fourier Coefficient Elementary Proof Mass Form Simultaneous Solution 
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References

  1. [1]
    Estermann, T., On Kloosterman’s sum, Mathematika 8 (1961), 83–86.MathSciNetzbMATHCrossRefGoogle Scholar
  2. [2]
    Geissler, E., Kloosterman-Summen und holomorphe Modularformen für Hecke-Kongruenzgruppen. Diplomarbeit im Fachbereich Mathematik der Universität Hannover (1988).Google Scholar
  3. [3]
    Kuznecov, N.V., Petersson hypothesis for parabolic forms of weight zero and Linnik hypothesis. Sums of Kloosterman sums, Math. USSR Sbornik 39, (1981), no. 3, 299–342.CrossRefGoogle Scholar
  4. [4]
    Selberg, A., Über die Fourierkoeffizienten elliptischer Modulformen negativer Dimension, C.R. Neuviéme Congres Math. Scandinaves, Helsingfors (1938), 320–322, reprinted in: Collected papers 1, no. 3.Google Scholar

Copyright information

© Birkhäuser Verlag, Basel 1990

Authors and Affiliations

  • Roland Matthes
    • 1
  1. 1.Fachbereich Mathematik der Gesamthochschule KasselKasselFR Germany

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