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

被引：4

作者：

Meng, XM ^{[1
]}

机构：

[1] Shandong Finance Inst, Dept Culture & Sci, Jinan 250014, Shandong, Peoples R China

来源：

ACTA MATHEMATICA HUNGARICA | 2004年 / 105卷 / 04期

基金：

美国国家科学基金会;

关键词：

prime; circle method; additive problem;

D O I：

10.1023/B:AMHU.0000049279.34821.25

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For every sufficiently large odd integer Nnot equivalent to1 (mod 3), the equation=p+p(1)(2)+P-2(2)+(P3P42)-P-2, \p-(N)/(5\) less than or equal to root(N)/U-5, \pi -root(N)/(5\)less than or equal to U, i = 1, 2, 3, 4 has solutions, where U = N5/11+epsilon, p and p(i) are primes. Subject to the generalized Riemann hypothesis, U can be chosen as U = N2/5+epsilon.

引用

页码：261 / 283

页数：23

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