On the mean value of general Cochrane sum

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Dongmei Ren¹  Yuan Yi¹ 

[1] Research Center for Basic Science, Xi’an Jiaotong University

关键词: Cochrane sum;    Legendre’s symbol;    Kloosterman sum;    Gauss sum.;   

DOI  :  10.3792/pjaa.86.1

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

In this paper, the general Cochrane sum is defined. The main purpose is to study the mean square value problem of general Cochrane sum by using the estimates for trigonometric sums and the properties of general Kloosterman sum, and finally give a sharp asymptotic formula.

【 授权许可】

Unknown