On the difference between an integer and its inverse modulo \(n\). II

DOI10.1360/03YS9024zbMath1217.11084OpenAlexW1705835884MaRDI QIDQ551764

Wen Peng Zhang

Publication date: 21 July 2011

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1360/03ys9024

zbMATH Keywords

asymptotic formulaerror termsinteger and its inverse

Mathematics Subject Classification ID

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

Related Items (12)

Mean value on the difference between a quadratic residue and its inverse modulo \(p\) ⋮ On the distribution of points on multidimensional modular hyperbolas. ⋮ General Kloosterman sums and the difference between an integer and its inverse modulo \(q\) ⋮ An identity involving certain Hardy sums and Ramanujan's sum ⋮ Upper bound estimate of character sums over Lehmer's numbers ⋮ A generalization on the difference between an integer and its inverse modulo \(q\) ⋮ Hybrid mean value results for a generalization on a problem of D.H. Lehmer and hyper-Kloosterman sums ⋮ Hybrid mean value on the difference between an integer and its inverse modulo \(q\) ⋮ A note on character sums over flat numbers ⋮ On a problem of D. H. Lehmer ⋮ Some applications of certain character sums ⋮ A generalization on the difference between an integer and its inverse modulo \(q\). II

Cites Work

• Unnamed Item
• On the mean values of Dedekind sums
• On the difference between an integer and its inverse modulo \(n\)
• Mean values of Dedekind sums
• Some theorems on generalized Dedekind sums
• On Kronecker's limit formula for Dirichlet series with periodic coefficients
• 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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