On reciprocity formulae for inhomogeneous and homogeneous Dedekind sums

DOI10.1017/S0305004100071358zbMath0783.11021MaRDI QIDQ3142750

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Publication date: 15 December 1993

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

reciprocity lawrational functionslinear combinations of Dedekind sums

Mathematics Subject Classification ID

Dedekind eta function, Dedekind sums (11F20)

Related Items (5)

A three variable identity connected with Dedekind sums ⋮ On the theorem of Davenport and generalized Dedekind sums ⋮ Dedekind zeta-functions and Dedekind sums ⋮ Reciprocity formulas for Hall-Wilson-Zagier type Hardy-Berndt sums ⋮ Higher-order character Dedekind sum

Cites Work

• On certain sums generating the Dedekind sums and their reciprocity laws
• On the distribution of reduced residues
• Generalized Dedekind sums and transformation formulae of certain Lambert series
• Some theorems on generalized Dedekind sums
• Generalization of the reciprocity formula for Dedekind sums

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