Chen's Conjecture and Its Generalization

被引：0
|
作者：
Xuegong SUN [1 ]
Lixia DAI [2 ]
机构：
[1] School of Sciences,Huaihai Institute of Technology
[2] School of Mathematical Sciences,Nanjing Normal University
来源：
Chinese Annals of Mathematics,Series B | 2013年 / 06期
基金：
中国国家自然科学基金;
关键词：
Chen’s conjecture; Powers of 2; Primes; Selberg’s sieve method;
D O I：
暂无
中图分类号：
O156.4 [解析数论];
学科分类号：
070104 ;
摘要：
Let l;,l;,…,l;be even integers and x be a sufficiently large number.In this paper,the authors prove that the number of positive odd integers k≤x such that（k+l;）;,（k+l;）;,…,（k+l;）;can not be expressed as 2;+p;is at least c（g）x,where p is an odd prime and the constant c（g）depends only on g.
引用
收藏
页码：957 / 962
页数：6
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