On Sums of Sparse Prime Subsets  

作　　者：Zhen CUI Hong Ze LI Bo Qing XUE 

机构地区：[1]Department of Mathematics,Shanghai Jiao Tong University

出　　处：《Acta Mathematica Sinica,English Series》2013年第8期1535-1542,共8页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China (Grant No.11271249);Specialized Research Fund for the Doctoral Program of Higher Education (Grant No.20120073110059)

摘　　要：For arbitrary c00, if A is a subset of the primes less than x with cardinality δx（logx）-1, δ≥（logx）-c0, then there exists a positive constant c such that the cardinality of A＋A is larger than cδx（loglogx）-1.For arbitrary c00, if A is a subset of the primes less than x with cardinality δx（logx）-1, δ≥（logx）-c0, then there exists a positive constant c such that the cardinality of A＋A is larger than cδx（loglogx）-1.

关 键 词：Density SUBSETS subsets of the primes circle method sifted numbers 

分 类 号：O156[理学—数学]