文献类型：期刊文献

中文题名：Diophantine Approximation with Two Primes and One Square of Prime

英文题名：Diophantine Approximation with Two Primes and One Square of Prime

作者：LI Wei-ping[1];WANG Tian-ze[2]

第一作者：李伟平

机构：[1]Department of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou 450002, China;[2]School of Mathematics and Information Science, North China University of Water Conservancy and Electric Power, Zhengzhou 450011, China

第一机构：河南财经政法大学数学与信息科学学院

年份：2012

卷号：27

期号：3

起止页码：417-423

中文期刊名：数学季刊：英文版

外文期刊名：Chinese Quarterly Journal of Mathematics

收录：CSTPCD;;CSCD:【CSCD2011_2012】；

基金：Supported by the NNSF of China(11071070);Supported by the Science Research Plan of Education Department of Henan Province(2011B110002)

语种：英文

中文关键词：Diophantine approximation;prime;Davenport-Heilbronn method

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

摘要：We show that if λ1 , λ2 , λ3 are non-zero real numbers, not all of the same sign, η is real and λ1 /λ2 is irrational, then there are infinitely many ordered triples of primes (p1 , p2 , p3 ) for which |λ1 p1 + λ2 p2 + λ3 p2 3 + η| < (max pj )- 1/40 (log max pj ) 4 .
We show that if λ1 , λ2 , λ3 are non-zero real numbers, not all of the same sign, η is real and λ1 /λ2 is irrational, then there are infinitely many ordered triples of primes （p1 , p2 , p3 ） for which ｜λ1 p1 ＋ λ2 p2 ＋ λ3 p2 3 ＋ η｜ 〈 （max pj ）- 1/40 （log max pj ） 4 .