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
收藏
页码：261 / 283
页数：23
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