文献类型：期刊文献

英文题名：One Diophantine inequality with unlike powers of prime variables

作者：Ge, Wenxu[1];Li, Weiping[2]

第一作者：Ge, Wenxu

通讯作者：Ge, WX[1]

机构：[1]North China Univ Water Resources & Elect Power, Dept Math & Informat Sci, Zhengzhou 450046, Peoples R China;[2]Henan Univ Econ & Law, Dept Math & Informat Sci, Zhengzhou 450046, Peoples R China

第一机构：North China Univ Water Resources & Elect Power, Dept Math & Informat Sci, Zhengzhou 450046, Peoples R China

通讯机构：[1]corresponding author), North China Univ Water Resources & Elect Power, Dept Math & Informat Sci, Zhengzhou 450046, Peoples R China.

年份：2016

卷号：2016

期号：1

起止页码：1-8

外文期刊名：JOURNAL OF INEQUALITIES AND APPLICATIONS

收录：;Scopus(收录号：2-s2.0-84961372698);WOS:【SCI-EXPANDED(收录号:WOS:000387054100001)】；

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), the Research Foundation of North China University of Water Conservancy and Electric Power (No. 201084).

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), lambda(5) are nonzero real numbers not all of the same sign, eta is real, 0 < sigma < 1/720, and at least one of the ratios lambda(i)/lambda(j) (1 <= i < j <= 5) is irrational, then the inequality vertical bar lambda(1)p(1) +lambda(2)p(2)(2) + lambda(3)p(3)(3) + lambda(4)p(4)(4) + lambda(5)p(5)(5) +eta vertical bar < (max(1 <= j <= 5) p(j)(j))(-sigma) has infinite solutions with primes p(1), p(2), p(3), p(4), p(5).