The hybrid mean value of Dedekind sums and two-term exponential sums

DOI10.1515/math-2016-0040zbMath1417.11136OpenAlexW2468561932MaRDI QIDQ317902

Li Xiaoxue, Chang Leran

Publication date: 4 October 2016

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2016-0040

zbMATH Keywords

Dedekind sumsasymptotic formulaidentityhybrid mean valuethe two-term exponential sums

Mathematics Subject Classification ID

Dedekind eta function, Dedekind sums (11F20) Trigonometric and exponential sums (general theory) (11L03)

Cites Work

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• On the mean values of Dedekind sums
• On the \(2k\)-th power mean of Dirichlet \(L\)-functions with the weight of general Kloosterman sums
• Mean values of Dedekind sums
• The reciprocity theorem for Dedekind sums
• The Reciprocity Formula for Dedekind Sums
• A hybrid mean value related to the Dedekind sums and Kloosterman sums
• On the sixth power mean of the two-term exponential sums
• On the mean value of Dedekind sums
• A note on the mean square value of the Dedekind sums

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