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Periodica Mathematica Hungarica

, Volume 12, Issue 2, pp 113–123 | Cite as

Dedekindsche Funktionen und Summen, I

  • E. Krätzel
Article

AMS (MOS) subject classifications (1970)

Primary 10A15, 10A45 

Key words and phrases

Dedekind sums σ-function of Dedekind partition intokth powers functional equations of analytic number theory theorems of reciprocity 

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Literaturverzeichnis

  1. [1]
    H.-J. Glaeske, Eine asymptotische Funktionalgleichung für eine verallgemeinerte Halbgitter-funktion,Duke Math. J. 34 (1967), 23–32.MR 34 # 4216Google Scholar
  2. [2]
    S. Iseki, A generalization of a functional equation related to the theory of partitions,Duke Math. J. 27 (1960), 95–110.MR 22 # 700Google Scholar
  3. [3]
    E. Krätzel, Zur Frage der Produktentwicklung höherer Thetafunktionen,Math. Nachr. 71 (1976), 291–302.MR 53 # 7986Google Scholar
  4. [4]
    E. M. Wright, Asymptotic partition formulae, III, Partitions intok-th powers,Acta Math. 63 (1934), 143–191.Zbl 9. 300Google Scholar

Copyright information

© Akadémiai Kiadó 1981

Authors and Affiliations

  • E. Krätzel
    • 1
  1. 1.Friedrich-Schiller-Universität Sektion MathematikJenaGerman Democratic Republik

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