A hybrid mean value involving Cochrane sums and a new sum analogous to Kloosterman sums

DOI10.1007/S10986-016-9309-0zbMath1369.11062OpenAlexW2300993513MaRDI QIDQ282140

Wen Peng Zhang

Publication date: 12 May 2016

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-016-9309-0

zbMATH Keywords

Dedekind sumsasymptotic formulamean square valueCochrane sumsmean value theorem of Dirichlet \(L\)-function

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Dedekind eta function, Dedekind sums (11F20)

Cites Work

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• A note on the upper bound estimate of high-dimensional Cochrane sums
• A note on the Cochrane sum and its hybrid mean value formula.
• On the hybrid mean value of Cochrane sums and generalized Kloosterman sums
• A sum analogous to Dedekind sums and its hybrid mean value formula
• On a Cochrane sum and its hybrid mean value formula.

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