文献类型：期刊文献

英文题名：The integer part of nonlinear forms with prime variables

作者：Li, Weiping[1];Chen, Guohua[2]

第一作者：李伟平

通讯作者：Li, WP[1]

机构：[1]Henan Univ Econ & Law, Dept Math & Informat Sci, Zhengzhou 450046, Peoples R China;[2]North China Univ Water Resources & Elect Power, Sch Math & Stat, 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：2022

卷号：7

期号：1

起止页码：1147-1154

外文期刊名：AIMS MATHEMATICS

收录：;Scopus(收录号：2-s2.0-85117693470);WOS:【SCI-EXPANDED(收录号:WOS:000718878200058)】；

基金：The first author is supported by the National Natural Science Foundation of China (Grant No.12071132) and the Natural Science Foundation of Henan Province (Grant No.202300410031). The second author is supported by the Natural Science Foundation of Henan Province (Grant No.212300410195).

语种：英文

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

摘要：In this paper, we discuss problems that integer part of nonlinear forms with prime variables represent primes infinitely. We prove that under suitable conditions there exist infinitely many primes p(j), p such that [lambda(1)p(1)(2) + lambda(2)p(2)(2) + lambda(3)p(3)(k)] = p and [lambda(1)p(1)(3) + ... + lambda(4)p(4)(3) + lambda(5)p(5)(k)] = p with k >= 2 and k >= 3 respectively, which improve the author's earlier results.