On the mean value of the Dedekind sum with the weight of Hurwitz zeta-function

DOI10.1006/jmaa.1999.6607zbMath0963.11048OpenAlexW2032096220MaRDI QIDQ1970000

Xiali He, Wen Peng Zhang

Publication date: 26 April 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6607

zbMATH Keywords

Dedekind sumsHurwitz zeta-functionasymptotic formulamean value theorem

Mathematics Subject Classification ID

Dedekind eta function, Dedekind sums (11F20) Hurwitz and Lerch zeta functions (11M35)

Related Items

New identities involving Hardy sums \(S_3(h, k)\) and general Kloosterman sums ⋮ \(q\)-Dedekind type sums related to \(q\)-zeta function and basic \(L\)-series ⋮ Some novel identities for analogues of Dedekind sums, Hurwitz zeta-function and general Kloosterman sum

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
• The Reciprocity Formula for Dedekind Sums