SMALL PRIME SOLUTIONS OF SOME ADDITIVE EQUATIONS

被引：35

作者：

LIU, MC

TSANG, KM

机构：

[1] Department of Mathematics, University of Hong Kong, Pokfulam Road

来源：

MONATSHEFTE FUR MATHEMATIK | 1991年 / 111卷 / 02期

关键词：

D O I：

10.1007/BF01332353

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Essentially sharp bounds for small prime solutions p(j), q(i) of the following two different types of equations are obtained. a1p1(2) + ... + a5p5(2) = b, c1q1 + c2q2 + c3q3k = d where the two sets of integers, a1, ..., a5, b and c1, c2, c3, d satisfy the congruent solubility condition and k greater-than-or-equal-to 1 is an integer. These results are comparable with the well-known Meyer theorem on indefinite integral quadratic form and the celebrated Vinogradov three primes theorem.

引用

页码：147 / 169

页数：23