An identity involving certain Hardy sums and Ramanujan's sum

DOI10.1186/1687-1847-2013-261zbMath1375.11059OpenAlexW2105010168WikidataQ59300965 ScholiaQ59300965MaRDI QIDQ1682136

Weiqiong Wang, Di Han

Publication date: 28 November 2017

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-261

zbMATH Keywords

Gauss sumshybrid mean valueRamanujan's sumcomputational formulacertain Hardy sums

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Jacobsthal and Brewer sums; other complete character sums (11L10)

Related Items (1)

Transformation formulas of a character analogue of $\log \theta _{2}(z)$

Cites Work

• On the difference between an integer and its inverse modulo \(n\). II
• On the mean values of Dedekind sums
• On character sums over flat numbers
• A MEAN VALUE RELATED TO D. H. LEHMER'S PROBLEM AND THE RAMANUJAN'S SUM
• On Kronecker's limit formula for Dirichlet series with periodic coefficients
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