Identities for sums of Dedekind type

DOI10.1016/0022-314X(82)90074-9zbMath0487.10012OpenAlexW2003435002MaRDI QIDQ1165264

Tom M. Apostol, Thiennu H. Vu

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0022-314x(82)90074-9

zbMATH Keywords

Dedekind sumsKnopp's identity

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (7)

The \(p\)-adic analytic Dedekind sums ⋮ Multiplication formulas for Kubert functions ⋮ Sur les sommes de Dedekind attachées aux groupes de congruence ⋮ Higher-order character Dedekind sum ⋮ Dedekindsummen mit elliptischen Funktionen ⋮ On powers of the denominators of rationals ⋮ Values of zeta functions at negative integers, Dedekind sums and toric geometry

Cites Work

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• Hecke operators and an identity for the Dedekind sums
• An elementary proof of the Petersson-Knopp theorem on Dedekind sums
• Generalized Dedekind sums and transformation formulae of certain Lambert series
• Some theorems on generalized Dedekind sums
• Dedekind sums and Hecke operators
• Hecke operators and Lambert series.

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