文献类型：期刊文献

英文题名：One Diophantine inequality with integer and prime variables

作者：Yang, Yongqiang[2];Li, Weiping[1]

第一作者：杨永强

通讯作者：Li, WP[1]

机构：[1]Henan Univ Econ & Law, Dept Math & Informat Sci, Zhengzhou 450046, Peoples R China;[2]Henan Univ Econ & Law, Coll Comp & Informat Engn, Zhengzhou 450046, 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 Econ & Law, Dept Math & Informat Sci, Zhengzhou 450046, 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：2015

卷号：2015

期号：1

外文期刊名：JOURNAL OF INEQUALITIES AND APPLICATIONS

收录：;Scopus(收录号：2-s2.0-84942418774);WOS:【SCI-EXPANDED(收录号:WOS:000387400200001)】；

基金：This work is supported by the National Natural Science Foundation of China (Grant Nos. 11371122, 11471112), the Innovation Scientists and Technicians Troop Construction Projects of Henan Province (China).

语种：英文

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

摘要：In this paper, we show that if lambda(1), lambda(2), lambda(3), lambda(4) are positive real numbers, at least one of the ratios lambda(i)/lambda(j) (1 <= i < j <= 4) is irrational, then the inequality vertical bar lambda(1)x(1)(2) + lambda(2)x(2)(3) + lambda(3)x(3)(4) + lambda(4)x(4)(5) - p - 1/2 vertical bar < 1/2 has infinite solutions with natural numbers x(1), x(2), x(3), x(4) and prime p.