Diophantine Approximation with Four Squares of Primes and Powers of Two  

四个素数的平方及2的若干次幂和丢番图逼近(英文)

作　　者：李伟平 王天泽 

机构地区：[1]Basic Deparment, Air Defence Forces Command Academy [2]Collie of Mathematics and Information Science, Henan University

出　　处：《Chinese Quarterly Journal of Mathematics》2007年第2期166-174,共9页数学季刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China(10171076);Supported by the Scientific and Technical Committee Foundation of Shanghai(03JC14027)

摘　　要：Under certain condition, the inequality |λ_1p_1~2+λ_2p_2~2+λ_3p_3~2+λ_4p_4~2+μ_12^(x1)+…+μ_s2^(xs)+γ|＜ηhas infinitely many solutions in primes p_1,p_2,p_3,p_4 and positive integers x_1,…,x_s.

关 键 词：prime variables diophantine inequalities application of the Hardy-Littlewood method 

分 类 号：O156.4[理学—数学]