A hybrid mean value related to the Dedekind sums and Kloosterman sums

DOI10.1007/S10114-010-9192-2zbMath1269.11101OpenAlexW2033743470MaRDI QIDQ5920258

Wen Peng Zhang, Yanni Liu

Publication date: 6 April 2011

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-9192-2

zbMATH Keywords

asymptotic formulaDedekind sumKloosterman sumsidentityhybrid mean value

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Gauss and Kloosterman sums; generalizations (11L05) Dedekind eta function, Dedekind sums (11F20)

Related Items (2)

On the mean value of the generalized Dedekind sum and certain generalized Hardy sums weighted by the Kloosterman sum ⋮ Unnamed Item

Cites Work

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• On the mean values of Dedekind sums
• A mean value of Cochrane sum
• Mean values of Dedekind sums
• Some theorems on generalized Dedekind sums
• On Kloosterman's sum
• On the mean value of Dedekind sums
• A note on the mean square value of the Dedekind sums

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