On the Waring-Goldbach Problem for Six Cubes and Two Biquadrates  

作　　者：Sanying SHI Li LIU 

机构地区：[1]School of Mathematics, Hefei University of Technology

出　　处：《Chinese Annals of Mathematics,Series B》2018年第6期1033-1046,共14页数学年刊（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(No.11201107);the China Scholarship Council

摘　　要：Let Pr denote an almost prime with at most r prime factors, counted according to multiplicity. In the present paper, it is proved that for any sufficiently large even integer n, the equation n=x^3＋p1^3＋p2^3＋p3^3＋p4^3＋p1^3＋p5^3＋p6^3＋p7^3 has solutions in primes pi with x being a P6. This result constitutes a refinement upon that of Hooley C.

关 键 词：Waring-Goldbach problem Hardy-Littlewood method Sieve theory 

分 类 号：O156.4[理学—数学]