Hua's Theorem with s Almost Equal Prime Variables  

作　　者：Qing Feng SUN Heng Cai TANG 

机构地区：[1]Department of Mathematics, Shandong University, Ji'nan 250100, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2009年第7期1145-1156,共12页数学学报（英文版）

基　　金：Supported by National'Natural Science Foundation of China (Grant No. 10701048)

摘　　要：It is proved unconditionally that every sufficiently large positive integer satisfying some necessary congruence conditions can be represented as the sum of s almost equal k-th powers of prime numbers for 2 ≤ k ≤ 10 and s =2k ＋ 1, which gives a short interval version of Hun＇s theorem.It is proved unconditionally that every sufficiently large positive integer satisfying some necessary congruence conditions can be represented as the sum of s almost equal k-th powers of prime numbers for 2 ≤ k ≤ 10 and s =2k ＋ 1, which gives a short interval version of Hun＇s theorem.

关 键 词：the additive theory of prime numbers short intervals circle method 

分 类 号：O156.4[理学—数学] O174[理学—基础数学]