On sums of subsets of Chen primes

Published 12 Jun 2012 in math.NT | (1206.2471v1)

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

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