Hua's Theorem on Five Almost Equal Prime Squares  

作　　者：Guang Shi L 

机构地区：[1]Department of Mathematics,Shandong University

出　　处：《Acta Mathematica Sinica,English Series》2006年第3期907-916,共10页数学学报（英文版）

基　　金：Supported by Tianyuan Mathematics Foundation(Grant No.10526028);the NSF of China(Grant Nos.10301018,10571107)

摘　　要：In this paper we sharpen Hua＇s result by proving that each sufficiently large integer N congruent to 5 modulo 24 can be written as N=p1^2＋p2^2＋p3^2＋p4^2＋p5^2,with │pj-√N/5│≤U=N^1/2-1/28＋ε,where pj are primes.In this paper we sharpen Hua＇s result by proving that each sufficiently large integer N congruent to 5 modulo 24 can be written as N=p1^2＋p2^2＋p3^2＋p4^2＋p5^2,with │pj-√N/5│≤U=N^1/2-1/28＋ε,where pj are primes.

关 键 词：Additive theory of prime numbers Circle method iterative method 

分 类 号：O156[理学—数学]