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
收藏
页码：387 / 394
页数：8
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