A sum analogous to the Dedekind sum and its mean value formula

DOI10.1006/jnth.2000.2624zbMath0997.11076OpenAlexW2029885858MaRDI QIDQ1597947

Wen Peng Zhang

Publication date: 4 June 2002

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

Full work available at URL: https://doi.org/10.1006/jnth.2000.2624

zbMATH Keywords

Dedekind sumHardy summean value formulaasymptotic result

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Dedekind eta function, Dedekind sums (11F20)

Related Items

\(q\)-Dedekind type sums related to \(q\)-zeta function and basic \(L\)-series, Several expressions of Dirichlet \(L\)-function at positive integers, On the hybrid mean value involving Kloosterman sums and sums analogous to Dedekind sums

Cites Work

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• On the mean values of Dedekind sums
• An exact formula for an average of L-series
• Mean values of Dedekind sums
• Some theorems on generalized Dedekind sums
• Generalization of the reciprocity formula for Dedekind sums
• Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan.
• A note on the mean square value of the Dedekind sums