Zhen Cui

collaborators

2 papers

math.NT2012

On sums of subsets of Chen primes

Zhen Cui, Hongze Li, Boqing Xue

In this paper we show that if $A$ is a subset of Chen primes with positive relative density $α$ , then $A + A$ must have positive upper density at least $cαe^{-c^\prime\log(1/α)^{2/3}…

math.NT2012

On sums of sparse prime subsets

Zhen Cui, Hongze Li, Boqing Xue

For arbitrary $c_{0} > 0$ , if $A$ is a subset of the primes less than $x$ with cardinality $δ x (lo g x)^{- 1}$ with $δ \geq (lo g x)^{- c_{0}}$ , then there exists a positive constant $c$ su…