On a Diophantine Inequality Involving Prime Numbers (Ⅲ)

被引：2

作者：

Yingchun Cai Department of Mathematics

机构：

来源：

Acta Mathematica Sinica(English Series) | 1999年 / 15卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Prime; Inequality; Exponential sum;

D O I：

暂无

中图分类号：

O178 [不等式及其他];

学科分类号：

0701 ; 070101 ;

摘要：

Let 1<c<10/11. In the present paper it is proved that there exists a number N(c)>0such that for each real number N>N(c) the inequality |p~c+p~c+p~c-N|<N~(-(1/c)(11/10-c))logN issolvable in prime numbers p, p, p, where cis some absolute positive constant.

引用

页码：387 / 394

页数：8

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