A Density Version of the Vinogradov Three Primes Theorem
Number Theory
2015-01-14 v2
Abstract
We prove that if A is a subset of the primes, and the lower density of A in the primes is larger than 5/8, then all sufficiently large odd positive integers can be written as the sum of three primes in A. The constant 5/8 in this statement is the best possible.
Cite
@article{arxiv.1206.6139,
title = {A Density Version of the Vinogradov Three Primes Theorem},
author = {Xuancheng Shao},
journal= {arXiv preprint arXiv:1206.6139},
year = {2015}
}
Comments
17 pages. To appear in Duke Math Journal. This is the final version, incorporating referee's suggestions