On sums of a prime and four prime squares in short intervals

被引：4

作者：

Lue, Guang Shi ^{[1
]}

Meng, Xian Meng ^{[2
]}

机构：

[1] Shandong Univ, Dept Math, Jinan 250100, Peoples R China

[2] Shandong Finance Inst, Dept Math & Stat, Jinan 250014, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2008年 / 24卷 / 08期

基金：

中国国家自然科学基金;

关键词：

exponential sums over primes; circle method; prime;

D O I：

10.1007/s10114-008-6089-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove that each sufficiently large integer N not equivalent to 1 (mod 3) can be written as N = p + p(1)(2) + p(2)(2) + p(3)(2) + p(4)(2), with [GRAPHICS] where U = N9/20+epsilon and p, p(j) are primes.

引用

页码：1291 / 1302

页数：12

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