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A note on the Cochrane sum and its hybrid mean value formula
Authors:Wenpeng Zhang  Huaning Liu
Institution:Research Center for Basic Science, Xi'an Jiaotong University, Xi'an, Shaanxi, PR China
Abstract:In this paper, we use the properties of Gauss sums, primitive characters and the mean value theorems of Dirichlet L-functions to study the hybrid mean value of Cochrane sums and general Kloosterman sums, and give two sharp asymptotic formulae.
Keywords:Cochrane sums  General Kloosterman sums  Asymptotic formula
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