Upper bounds on \(n\)-dimensional Kloosterman sums

DOI10.1016/j.jnt.2003.09.011zbMath1121.11054OpenAlexW1969563913MaRDI QIDQ1434323

Ming-Chit Liu, Todd Cochrane, Zhiyong Zheng

Publication date: 4 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2003.09.011

zbMATH Keywords

Kloosterman sums

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Gauss and Kloosterman sums; generalizations (11L05) Trigonometric and exponential sums (general theory) (11L03)

Related Items (2)

The size of wild Kloosterman sums in number fields and function fields ⋮ Explicit values of multi-dimensional Kloosterman sums for prime powers, II

Cites Work

• On \(n\)-dimensional Kloosterman sums
• On a conjecture of Chalk
• Hyper-Kloosterman sums and estimation of exponential sums of polynomials of higher degrees
• On Hau's lemma
• A stationary phase formula for exponential sums over $ℤ/p^{m}ℤ$ and applications to GL(3)-Kloosterman sums
• Pure and mixed exponential sums
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