The Exceptional Set in Hua's Theorem for Three Squares of Primes  

作　　者：JianYaLIU TaoZHAN 

机构地区：[1]DepartmentofMathematics,ShandongUniversity,Ji'nan250100,P.R.China [2]DepartmentofMathematics,ShandongUniversity,Ji'nan250100,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2005年第2期335-350,共16页数学学报（英文版）

基　　金：Supported by The National Science Foundation(Grants #10125101 and #10131010);by a Ministry of Education Major Grant Program in Sciences and Technology

摘　　要：It is proved that with at most O(N^(11/12+ε)) exceptions, all positiveintegers n ≤ N satisfying some necessary congruence conditions are the sum of three squares ofprimes. This improves substantially the previous results in this direction.It is proved that with at most O(N^(11/12+ε)) exceptions, all positiveintegers n ≤ N satisfying some necessary congruence conditions are the sum of three squares ofprimes. This improves substantially the previous results in this direction.

关 键 词：waring-goldbach problem circle method iterative method 

分 类 号：O156[理学—数学]