文献类型：期刊文献

英文题名：Diophantine approximation with one prime and three squares of primes

作者：Li, Weiping[1];Wang, Tianze[2]

第一作者：李伟平

通讯作者：Li, WP[1]

机构：[1]Henan Univ Finance & Econ, Dept Math & Informat Sci, Zhengzhou 450002, Peoples R China;[2]N China Univ Water Conservancy & Elect Power, Sch Math & Informat Sci, Zhengzhou 450011, Peoples R China

第一机构：河南财经政法大学数学与信息科学学院

通讯机构：[1]corresponding author), Henan Univ Finance & Econ, Dept Math & Informat Sci, Zhengzhou 450002, Peoples R China.|[1048425]河南财经政法大学数学与信息科学学院;[10484]河南财经政法大学;

年份：2011

卷号：25

期号：3

起止页码：343-357

外文期刊名：RAMANUJAN JOURNAL

收录：;Scopus(收录号：2-s2.0-79960034714);WOS:【SCI-EXPANDED(收录号:WOS:000297166900004)】；

基金：The research is supported by the National Natural Science Foundation of China (Grant No. 10671056).

语种：英文

外文关键词：Diophantine approximation; Prime; Davenport-Heilbronn method

摘要：We show that if lambda(1), lambda(2), lambda(3), lambda(4) are nonzero real numbers, not all of the same sign, eta is real, and at least one of the ratios lambda(1)/lambda(j) (j = 2, 3, 4) is irrational, then given any real number omega > 0, there are infinitely many ordered quadruples of primes (p(1), p(2), p(3), p(4)) for which |lambda(1)p(1) + lambda(2)p(2)(2) + lambda(3)p(3)(2) + lambda(4)p(4)(2) + eta| < (max p(j))(-1/28+omega).