On a Cochrane sum and its hybrid mean value formula. II

DOI10.1016/S0022-247X(02)00501-2zbMath1106.11304OpenAlexW2087727626MaRDI QIDQ1856990

Wen Peng Zhang

Publication date: 11 February 2003

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

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00501-2

zbMATH Keywords

Asymptotic formulaMean valueSum analogous to Dedekind sum

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Gauss and Kloosterman sums; generalizations (11L05) Dedekind eta function, Dedekind sums (11F20)

Related Items (14)

Upper bound estimate of incomplete Cochrane sum ⋮ Mean value on the difference between a quadratic residue and its inverse modulo \(p\) ⋮ On the fourth power mean of the character sums over short intervals ⋮ A note on the Cochrane sum and its hybrid mean value formula. ⋮ A hybrid mean value involving Gauss sums and character sums ⋮ Hybrid mean value on the difference between an integer and its inverse modulo \(q\) ⋮ Generalized Knopp identities for homogeneous Hardy sums and Cochrane-Hardy sums ⋮ On a generalized Cochrane sum and its hybrid mean value formula ⋮ On the mean value of \(\frac{L^{\prime}}{L}(1,\chi)\) ⋮ Generalized Cochrane sums and Cochrane-Hardy sums ⋮ On the mean value of a sum analogous to character sums over short intervals ⋮ Some applications of certain character sums ⋮ On Cochrane sums over short intervals ⋮ On a hybrid mean value of the character sums over short intervals

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
• Some theorems on generalized Dedekind sums
• A note on the mean square value of the Dedekind sums
• On a Cochrane sum and its hybrid mean value formula.

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