文献类型：期刊文献

中文题名：两个素数和一个素数平方和的丢番图逼近(英文)

作者：李伟平;王天泽

第一作者：李伟平

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

第一机构：河南财经政法大学数学与信息科学学院

年份：2012

期号：3

起止页码：417-423

中文期刊名：数学季刊

外文期刊名：Chinese Quarterly Journal of Mathematics

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

语种：中文

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 .