Dedekindsche Funktionen und Summen. I, II

DOI10.1007/BF01849701zbMath0455.10005OpenAlexW4246282423MaRDI QIDQ1149976

Ekkehard Krätzel

Publication date: 1981

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01849701

zbMATH Keywords

Dedekind sumspartitions into powersreciprocity theoremsfunctional equations of analytic number theorygeneralized Dedekind eta-function

Mathematics Subject Classification ID

Elementary theory of partitions (11P81) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Power residues, reciprocity (11A15)

Related Items (2)

Explicit transformations for generalized Lambert series associated with the divisor function \(\sigma_a^{(N)}(n)\) and their applications ⋮ Extended higher Herglotz functions. I: Functional equations

Cites Work

• A generalization of a functional equation related to the theory of partitions
• Asymptotic partition formulae. III. Partitions into \(k\)-th powers
• Eine asymptotische Funktionalgleichung für eine verallgemeinerte Halbgitter-Funktion

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