On the order of the high-dimensional Cochrane sum and its mean value

被引：6

作者：

Xu, ZF ^{[1
]}

Zhang, WP ^{[1
]}

机构：

[1] NW Univ Xian, Dept Math, Xian 710069, Shaanxi, Peoples R China

来源：

JOURNAL OF NUMBER THEORY | 2006年 / 117卷 / 01期

关键词：

high-dimensional cochrane sum; Hyper-Kloosterman sum; asymptotic formula; order; mean value;

D O I：

10.1016/j.jnt.2005.05.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main purpose of this paper is to study the high-dimensional Cochrane sum and give a sharp estimate of its order by using properties of hyper-Kloosterman sum and the mean value theorems of Difichlet L-functions. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：131 / 145

页数：15

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