Author

Shi-Qiang Chen

h-index 2 View on Semantic Scholar

We have 2 of 12 papers

We haven’t gathered this author’s papers yet. Follow them and we’ll fetch their work.

Not the right person? Other researchers publish under this name.

Preprint Sep 2026

On a problem of Erd\H{o}s and Nathanson related to minimal asymptotic bases of order $h$

Let $h\geq 3$ be an integer and $0<\alpha<1/h$. In this paper, we prove that there exists a minimal asymptotic basis of order $h$ with asymptotic density $\alpha$. This solves an open problem posed by Erd\H{o}s and Nathanson in 1988.

Shi-Qiang Chen, Quan-Hui Yang · 0 citations

Preprint Jul 2026

On the size of $h$-fold sumsets

Let $h$ be a positive integer, and let $A$ be a finite set of integers. We derive an exact formula for $|hA|$. Furthermore, let $A=\{0,1,\ldots,s,a,b\}$, $1\leq s<a<b$, and write $b=qa+r$ with $0\leq r<a$. By using generating function, we prove that $|hA|$ equals a definite explicit formula expressed in terms of certai...

Shi-Qiang Chen, Quan-Hui Yang · 0 citations