A density version of Vinogradov's three primes theorem
Number Theory
2008-12-06 v3
Abstract
Let P denote the set of all primes. Suppose that P_1, P_2, P_3 are three subsets of P with the sum of their lower densities relative to P is greater than 2. We prove that for sufficiently large odd integer n, there exist p_i\in P_i such that n=p_1+p_2+p_3.
Cite
@article{arxiv.math/0701240,
title = {A density version of Vinogradov's three primes theorem},
author = {Hongze Li and Hao Pan},
journal= {arXiv preprint arXiv:math/0701240},
year = {2008}
}
Comments
15 pages