Sums of five almost equal prime squares II

被引：36

作者：

Liu, JY ^{[1
]}

Zhan, T ^{[1
]}

机构：

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

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY | 1998年 / 41卷 / 07期

关键词：

prime; circle method; zero-density estimate; large sieve;

D O I：

10.1007/BF02901953

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(mod 24) can be written as N = p(1)(2) + ... + p(5)(2) with each prime p(j) satisfying / p(j) - root N/5/ less than or equal to N12/25 + e, which gives a short interval version of a classical theorem of Hua.

引用

页码：710 / 722

页数：13

共 15 条

[1] AULUCK F. C., 1937, P INDIAN ACAD SCI A, VA6, P81
[2] Davenport H., 1980, MULTIPLICATIVE NUMBE
[3] Hua L., 1965, Additive Theory of Prime Numbers
[4] HUA LK, 1938, Q J MATH OXFORD SER, V9, P68
[5] Liu JY, 1996, ACTA ARITH, V77, P369
[6] SMALL PRIME SOLUTIONS OF SOME ADDITIVE EQUATIONS
LIU, MC
TSANG, KM
[J]. MONATSHEFTE FUR MATHEMATIK, 1991, 111 (02): : 147 - 169
[7] Montgomery H L., 1975, ACTA ARITH, V27, P353
[8] PAN CD, 1990, CHINESE ANN MATH B, V11, P138
[9] PAN CD, 1991, FUNDMENTALS ANAL NUM
[10] Prachar K., 1957, Primzahlverteilung

← 1 2 →