Boqing Xue

activity

20122023

most citedGeneral divisor functions in arithmetic progressions to large moduli

2 citations · 6 across the 9 of their papers we have counts for

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Showing 2012Show all

3 papers · 1 filter

math.NT2012★ 1 cited

Rational points on cubic hypersurfaces that split off two forms

Boqing Xue, Haobo Dai

We show that if $X \subseteq P^{n - 1}$ , defined over $Q$ by a cubic form that splits off two forms, with $n \geq 11$ , then $X (Q)$ is non-empty. The same hol…

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…