English

On sums of subsets of Chen primes

Number Theory 2012-06-13 v1

Abstract

In this paper we show that if AA is a subset of Chen primes with positive relative density α\alpha, then A+AA+A must have positive upper density at least cαeclog(1/α)2/3(loglog(1/α))1/3c\alpha e^{-c^\prime\log(1/\alpha)^{2/3}(\log\log(1/\alpha))^{1/3}} in the natural numbers.

Keywords

Cite

@article{arxiv.1206.2471,
  title  = {On sums of subsets of Chen primes},
  author = {Zhen Cui and Hongze Li and Boqing Xue},
  journal= {arXiv preprint arXiv:1206.2471},
  year   = {2012}
}