The fourth power mean of the general 2-dimensional Kloostermann sums mod \(p\)

DOI10.1007/s10114-016-6347-9zbMath1427.11076OpenAlexW2565984822MaRDI QIDQ2403999

Xiaoxue Li, Wen Peng Zhang

Publication date: 12 September 2017

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-016-6347-9

zbMATH Keywords

Gauss sumsidentityDirichlet charactergeneral 2-dimensional Kloostermann sums

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05)

Related Items (7)

On the character sums analogous to high dimensional Kloosterman sums ⋮ A sum analogous to Kloosterman sum and its fourth power mean ⋮ Fourth power mean of the general \(s\)-dimensional Kloosterman sum mod \(p\) ⋮ Fourth power mean of the general 4-dimensional Kloosterman sum mod \(p\) ⋮ The fourth power mean of the general 3-dimensional Kloostermann sums mod \(p\) ⋮ An improved estimate of the fourth power mean of the general \(3\)-dimensional Kloosterman sum mod \(p\) ⋮ On the character sum of polynomials and the two-term exponential sums

Cites Work

• Bounds of incomplete multiple Kloosterman sums
• The triplication formula for Gauss sums
• On \(n\)-dimensional Kloosterman sums
• Bounds for incomplete hyper-Kloosterman sums
• Identities of incomplete Kloosterman sums
• A new identity involving the classical Kloosterman sums and 2-dimensional Kloosterman sums
• On the fourth power mean of the general Kloosterman sums
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