On powers of the denominators of rationals

DOI10.3792/PJAA.59.438zbMath0543.10014OpenAlexW2062788357MaRDI QIDQ795858

Chiaki Nagasaka

Publication date: 1983

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.59.438

zbMATH Keywords

Möbius inversionaveraging operatorreciprocityHecke operatorgeneralized Dedekind sums

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

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• On generalized Dedekind sums attached to Dirichlet characters
• Hecke operators and an identity for the Dedekind sums
• An elementary proof of the Petersson-Knopp theorem on Dedekind sums
• Identities for sums of Dedekind type
• Dedekind sums and Hecke operators
• Hecke operators and Lambert series.
• Dedekind type sums and Hecke operators

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