On the distribution of αp3 modulo one

被引：0
|
作者：
Cai, YC [1 ]
机构：
[1] Shanghai Normal Univ, Dept Math, Shanghai 201800, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 1998年 / 14卷
关键词：
prime; sieve; distribution mod 1;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper it is proved that the following inequality //alpha p(3) - beta// < p(-1/11) has infinitely many prime solutions for any irrational or and any real beta, where //gamma// denotes the smallest distance from gamma to integers. This result gives some improvement upon the previous one with the exponent 1/12 due to Baker and Harman.
引用
收藏
页码：757 / 760
页数：4
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