On Roth's theorem concerning a cube and three cubes of primes
On Roth's theorem concerning a cube and three cubes of primes
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DOI：
10.1093/qmath/hah002
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发表时间：
2004-09
影响因子：
0.7
通讯作者：
Xiumin Ren;K. Tsang
中科院分区：
文献类型：
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作者：
Xiumin Ren;K. Tsang
本文证明了至多有O(N)个例外，直到N的所有正整数都是一个立方和三个立方的素数之和。这改进了第一作者的早期结果O(N)和Roth的经典结果O(NL−A)。
In this paper, we prove that with at most O(N) exceptions, all positive integers up to N are the sum of a cube and three cubes of primes. This improves an earlier result O(N) of the first author and the classical result O(NL−A) of Roth.