文献类型：期刊文献

英文题名：On Diophantine approximation by unlike powers of primes

作者：Ge, Wenxu[1];Li, Weiping[2];Wang, Tianze[1]

第一作者：Ge, Wenxu

通讯作者：Ge, WX[1]

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

第一机构：North China Univ Water Resources & Elect Power, Sch Math Stat, Zhengzhou 450046, Henan, Peoples R China

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

年份：2019

卷号：17

期号：1

起止页码：544-555

外文期刊名：OPEN MATHEMATICS

收录：;Scopus(收录号：2-s2.0-85067107257);WOS:【SCI-EXPANDED(收录号:WOS:000469790400002)】；

基金：The first author is partially supported by the National Natural Science Foundation of China (Grant No. 11871193). The second and third authors are partially supported by the National Natural Science Foundation of China (Grant No. 11471112).

语种：英文

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

摘要：Suppose that lambda(1), lambda(2), lambda(3), lambda(4), lambda(5) are nonzero real numbers, not all of the same sign, lambda(1)/A(2) is irrational, lambda(2)/lambda(4) and lambda(3)/lambda(5) are rational. Let eta real, and epsilon > 0. Then there are infinitely many solutions in primes rho(j) to the inequality vertical bar lambda(1)p(1) + lambda(2)p(2)(2) + lambda(3)p(3)(3) + lambda(4)p(4)(4) + lambda 5p(5)(5) + eta vertical bar < (maxp(j)(j))(-1/32+epsilon). This improves an earlier result under extra conditions of lambda(j).