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

被引：5

作者：

Lue, Guangshi ^{[1
]}

机构：

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

来源：

JOURNAL OF NUMBER THEORY | 2008年 / 128卷 / 04期

基金：

美国国家科学基金会;

关键词：

exponential sums over primes; circle method; Waring-Goldbach problems;

D O I：

10.1016/j.jnt.2007.02.005

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 classical result by showing that each sufficiently large integer N not equivalent to 1 (mod 3) can be written as [GRAPHICS] where U = N41/100+epsilon and p, pj are prime's. This result improves a previous result with U = N41/100+epsilon replaced by U =N5/11+epsilon. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：805 / 819

页数：15

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