A problem of D. H. Lehmer and its mean square value formula.

DOI10.1016/S0022-314X(03)00113-6zbMath1046.11070MaRDI QIDQ1421290

Yuan Yi, Wen Peng Zhang, Zong Ben Xu

Publication date: 26 January 2004

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

zbMATH Keywords

Dedekind sumsLehmer problemDirichlet L-functionCochrane sum

Mathematics Subject Classification ID

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

Related Items (15)

Kloosterman sums and a problem of D. H. Lehmer ⋮ Mean value estimates of the error terms of Lehmer problem ⋮ On the mean square average of Dirichlet \(L\)-function over characters of odd parity in a special case ⋮ Modular hyperbolas ⋮ Generalization of the Lehmer problem over incomplete intervals ⋮ High-dimensional D. H. Lehmer problem over short intervals ⋮ High-dimensional D. H. Lehmer problem over quarter intervals ⋮ On a problem analogues to Lehmer's and Hurwitz zeta-function ⋮ Hybrid mean value results for a generalization on a problem of D.H. Lehmer and hyper-Kloosterman sums ⋮ On a problem of D. H. Lehmer over short intervals ⋮ On a problem of D. H. Lehmer ⋮ Some applications of certain character sums ⋮ A mean value of Cochrane sum ⋮ On a kind of Dirichlet character sums ⋮ New pseudorandom sequences constructed by quadratic residues and Lehmer numbers

Cites Work

• On the mean values of Dedekind sums
• Mean values of Dedekind sums
• Some theorems on generalized Dedekind sums
• On Kronecker's limit formula for Dirichlet series with periodic coefficients
• Unsolved problems in number theory
• 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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