A note on the Cochrane sum and its hybrid mean value formula

作者:Zhang WP*; Liu HI
来源:Journal of Mathematical Analysis and Applications, 2003, 288(2): 646-659.
DOI:10.1016/j.jmaa.2003.09.056

摘要

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.