On the Waring–Goldbach problem for fourth and sixth powers
On the Waring–Goldbach problem for fourth and sixth powers
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DOI：
10.1112/plms/pdt072
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发表时间：
2014-06
影响因子：
1.8
通讯作者：
Lilu Zhao
中科院分区：
文献类型：
--
作者：
Lilu Zhao
我们考虑第四和第六权力的Waring-Goldbach问题。特别是，我们建立了每一个充分大的正整数下的自然同余条件下，可以表示为13个四次幂的素数的总和。这改进了Kawada和Wooley的早期结果[“On the Waring-Goldbach problem for fourth and fifth powers”，Proc.伦敦数学学会（3）83（2001）1-50]。
We consider the Waring–Goldbach problem for fourth and sixth powers. In particular, we establish that every sufficiently large positive integer under a natural congruence condition can be represented as a sum of 13 fourth powers of prime numbers. This improves upon the earlier result of Kawada and Wooley [‘On the Waring–Goldbach problem for fourth and fifth powers’, Proc. London Math. Soc. (3) 83 (2001) 1–50].