Shi-Qiang Chen

collaborators

3 papers

math.NT2026

On a problem of Erdős and Nathanson related to minimal asymptotic bases of order $h$

Shi-Qiang Chen, Quan-Hui Yang

Let $h \geq 3$ be an integer and $0 < α < 1/ h$ . In this paper, we prove that there exists a minimal asymptotic basis of order $h$ with asymptotic density $α$ . This solves an open proble…

math.NT2026

On a problem of Nathanson related to minimal asymptotic bases and maximal asymptotic nonbases

Shi-Qiang Chen

Let $N_{0} = {0, 1, 2, \dots}$ and let $h \geq 2$ be an integer. For a set $A \subseteq N_{0}$ , write $h A$ for the set of all sums of $h$ , not necessarily distinct, elements…

math.NT2026

On the size of $h$ -fold sumsets

Shi-Qiang Chen, Quan-Hui Yang

Let $h$ be a positive integer, and let $A$ be a finite set of integers. We derive an exact formula for $∣ h A ∣$ . Furthermore, let $A = {0, 1, \dots, s, a, b}$ , $1 \leq s < a < b$ , and write $…

On a problem of Erdős and Nathanson related to minimal asymptotic bases of order h

On a problem of Nathanson related to minimal asymptotic bases and maximal asymptotic nonbases

On the size of h-fold sumsets

On a problem of Erdős and Nathanson related to minimal asymptotic bases of order $h$

On the size of $h$ -fold sumsets