A note on the upper bound estimate of high-dimensional Cochrane sums

DOI10.1016/j.jnt.2006.10.008zbMath1118.11022OpenAlexW2047056778MaRDI QIDQ884516

Huaning Liu

Publication date: 6 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2006.10.008

zbMATH Keywords

upper bound estimateCochrane sumHyper-Kloosterman sum

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Dedekind eta function, Dedekind sums (11F20)

Related Items

Upper bound estimate of incomplete Cochrane sum ⋮ A hybrid mean value involving Cochrane sums and a new sum analogous to Kloosterman sums ⋮ A note on the hyper Cochrane sum ⋮ Note on the mean value of higher-Kloosterman sums

Cites Work

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• The hyper-Kloosterman sum
• On the order of the high-dimensional Cochrane sum and its mean value