Density of the sums of four cubes of primes

作者：Liu Zhixin^*

来源：Journal of Number Theory, 2012, 132(4): 735-747.

DOI：10.1016/j.jnt.2011.12.003

• Waring-Goldbach problem
• Circle method
• Sieve methods

It is conjectured that all sufficiently large integers satisfying some necessary congruence conditions are the sum of four cubes of primes. In this paper, it is proved that the conjecture is true for at least 2.911% of the positive integers satisfying the necessary conditions. This improves the result 1.5% due to Ren (2003) [8].

• 出版日期2012-4
• 单位天津大学