On Cochrane sums over short intervals

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:356

Article

Lu, Yaming¹  Yi, Yuan¹ 

[1] Xi An Jiao Tong Univ, Res Ctr Basic Sci, Xian 710049, Shaanxi, Peoples R China

关键词: Cochrane sums;    Gauss sum;    Kloosterman sum;   

DOI  :  10.1016/j.jmaa.2009.03.031

来源: Elsevier

【 摘 要 】

The main purpose of this paper is to study the mean square value problem of Cochrane sums over short intervals by using the properties of Gauss sums and Kloosterman sums, and finally give a sharp asymptotic formula. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free