Sums of cubes of primes in short intervals

被引：6
|
作者：
Liu, Zhixin [2 ]
Sun, Qingfeng [1 ]
机构：
[1] Shandong Univ, Sch Math & Stat, Weihai, Peoples R China
[2] Tianjin Univ, Dept Math, Sch Sci, Tianjin 300072, Peoples R China
来源：
RAMANUJAN JOURNAL | 2012年 / 28卷 / 03期
基金：
中国国家自然科学基金;
关键词：
The additive theory of prime numbers; Short intervals; Circle method; EQUATIONS;
D O I：
10.1007/s11139-012-9383-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we are able to sharpen Hua's result by proving that almost all integers satisfying some necessary congruence conditions can be represented as N = p(1)(3) + ... + p(s)(3) with vertical bar p(j) - 3 root N/S vertical bar <= U, j = 1, ..., s, where p(j) are primes and U = N1/3-delta s = s-4/6s+72, where s = 5 ,6, 7, 8.
引用
收藏
页码：309 / 321
页数：13
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