| 华林-哥德巴赫问题:两个平方,两个立方和两个四次方 |
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| 引用本文： | 吕晓东.华林-哥德巴赫问题:两个平方,两个立方和两个四次方[J].数学年刊A辑(中文版),2015,36(2):161-174. |
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| 作者姓名： | 吕晓东 |
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| 作者单位： | 同济大学数学系, 上海 200092 |
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| 基金项目： | 国家自然科学基金 (No.10000000) 资助的项目. |
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| 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.
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| 关 键 词： | 华林-哥德巴赫问题 圆法 筛法 殆素数 |
Waring-Goldbach Problem: Two Squares, Two
Cubes and Two Biquadrates |
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| LU Xiaodong.Waring-Goldbach Problem: Two Squares, Two
Cubes and Two Biquadrates[J].Chinese Annals of Mathematics,2015,36(2):161-174. |
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| Authors: | LU Xiaodong |
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| Institution: | Department of Mathematics, Tongji University, Shanghai 200092, China. |
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| Abstract: | Let Pr 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, theequation
N = x2 + p21
+ p32
+ p33
+ p44
+ p45
is solvable with x being an almost-prime P6 and the pj (j = 1, · · · , 5) are primes. |
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| Keywords: | Waring-Goldbach problem Circle method Sieve method Almost-prime |
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