4个素数平方及若干2的次幂和的丢番图逼近  

Diophantine Approximation with 4 Squares of Primes and Powers of 2

作　　者：刘志新[1] 孙海伟[2] 

机构地区：[1]天津大学理学院数学系,天津300072 [2]山东大学(威海)数学与统计学院,山东威海264209

出　　处：《数学年刊（A辑）》2013年第5期599-608,共10页Chinese Annals of Mathematics

基　　金：教育部博士点基金(No.20120131120075)的资助

摘　　要：证明了在一定条件下,不等式|λ_1p_1~2+λ_2p_2~2+λ_3p_3~2+λ_4p_4~2+μ_12^(m_1)+…+μ_s2^(m_s)+(?)|<η关于素数p1,p2,p3,p4和正整数m1,…,m_s有无穷多解,改进了之前的结果.The authors prove that under certain conditions, the inequality ｜λ1p1^2＋λ2p2^2＋λ3p3^2＋λ4p4^2＋μ12^m1＋…＋μs2m^sa＋ ｜〈η with primes p1, p2,p3,p4 and positive integers m1,... , m8 has infinitely many solutions. This gives an improvement of the former results.

关 键 词：丢番图不等式 圆法 Goldbach型问题 

分 类 号：O156.4[理学—数学]