文献类型：期刊文献

英文题名：THE INTEGER PARTS OF A NONLINEAR FORM WITH MIXED POWERS 3 AND k

作者：Su, Baiyun[1];Li, Weiping[1]

第一作者：苏白云

通讯作者：Li, WP[1]

机构：[1]Henan Univ Econ & Law, Dept Math & Informat Sci, Zhengzhou 450011, 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 450011, 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：2014

卷号：18

期号：2

起止页码：497-507

外文期刊名：TAIWANESE JOURNAL OF MATHEMATICS

收录：;Scopus(收录号：2-s2.0-84896446465);WOS:【SCI-EXPANDED(收录号:WOS:000336890900011)】；

基金：This work is supported by the National Natural Science Foundation of China (Grant No. 11071070, 11371122), the Natural Science Research of Henan Province Education Department (Grant No. 2011B110002), the Innovation Scientists and Technicians Troop Construction Projects of Henan Province (China).

语种：英文

外文关键词：Davenport-heilbronn circle method; Diophantine approximation; Integer variables

摘要：Using the Davenport-Heilbronn circle method, we show that if lambda(1), ... , lambda(5) are positive real numbers, at least one of the ratios lambda(i) /lambda(j) (1 <= i < j <= 5) is irrational, then, for arbitrary positive integer k >= 4, the integer parts of lambda(1)x(1)(3) + lambda(2)x(2)(3) + lambda(3)x(3)(3) + lambda(4)x(4)(3) + lambda(5)x(5)(3) are prime infinitely often for natural numbers x(1), ... , x(5).