文献类型：期刊文献

英文题名：The integral part of a nonlinear form with a square, a cube and a biquadrate

作者：Ge, Wenxu[1];Li, Weiping[2];Zhao, Feng[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, Peoples R China;[2]Henan Univ Econ & Law, Sch Math & Informat Sci, Zhengzhou 450000, Peoples R China

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

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

年份：2020

卷号：18

期号：1

起止页码：1272-1280

外文期刊名：OPEN MATHEMATICS

收录：;Scopus(收录号：2-s2.0-85097862852);WOS:【SCI-EXPANDED(收录号:WOS:000596499900001)】；

基金：The authors thank the referees for their time and comments. The research has been supported by the National Natural Science Foundation of China (Grant No. 11871193 and 11471112) and the Key Research Project of Henan Province Higher Education (No. 17A110009).

语种：英文

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

摘要：In this paper, we show that if lambda(1), lambda(2), lambda(3) are non-zero real numbers, and at least one of the numbers lambda(1), lambda(2), lambda(3) is irrational, then the integer parts of lambda(1)n(1)(2) + lambda(2)n(2)(3) + lambda(3)n(3)(4) are prime infinitely often for integers n(1), n(2), n(3). This gives an improvement of an earlier result.