华林-哥德巴赫问题:两个平方,两个立方和两个四次方  

Waring-Goldbach Problem:Two Squares,Two Cubes and Two Biquadrates

作　　者：吕晓东[1] 

机构地区：[1]同济大学数学系,上海200092

出　　处：《数学年刊（A辑）》2015年第2期161-174,共14页Chinese Annals of Mathematics

摘　　要：令P_r表示素因子不超过r的殆素数,按重数计.作者证明了对于充分大的偶数N,方程N=x^2+p_1~2+p_2~3+p_3~3+p_4~4+p_5~4有解,其中x是殆素数P_6,p_j(j=1,…,5)是素数.Let P_r denote an almost-prime with at most r prime factors,counted according to multiplicity.In this paper it is proved that for every sufficiently large even integer N,the equation N = x^2＋p_1~2＋p_2~3＋p_3~3＋p_4~4＋p_5~4is solvable with x being an almost-prime P_6 and the p_j（j = 1,…,5） are primes.

关 键 词：华林-哥德巴赫问题 圆法 筛法 殆素数 

分 类 号：G634.6[文化科学—教育学]