Hua's theorem on prime squares in short intervals

被引：11

作者：

Liu, JY ^{[1
]}

Zhan, T ^{[1
]}

机构：

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

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2000年 / 16卷 / 04期

关键词：

Waring-Goldbach problem; Hua's theorem; prime; circle method;

D O I：

10.1007/s101140000077

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is proved that every large integer N = 5(mod24) can be written as N = p(1)(2) + ... + p(5)(2) with each prime p(j) satisfying \p(j) - rootN/5\ less than or equal to N11/23+epsilon. This gives a short interval version of Hua's theorem on the quadratic Waring-Goldbach problem.

引用

页码：669 / 690

页数：22

共 12 条

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Zhan, T
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TSANG, KM
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[10] Prachar K., 1957, Primzahlverteilung

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