Generalizations of Knopp's identity.

DOI10.1006/jnth.2002.2801zbMath1033.11017OpenAlexW2105944578MaRDI QIDQ1867432

Beifang Chen, Zhi-Wei Sun

Publication date: 2 April 2003

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.2002.2801

zbMATH Keywords

gamma functionDedekind sumuniform functionsDedekind-Peterson-Knopp identity

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Dedekind eta function, Dedekind sums (11F20)

Cites Work

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• Hecke operators and an identity for the Dedekind sums
• Sums of minima and maxima
• The Petersson-Knopp identity for homogeneous Dedekind sums
• Higher dimensional Dedekind sums
• Products of binomial coefficients modulo p²
• Algebraic approaches to periodic arithmetical maps

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