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

Shi-Qiang Chen, Csaba Sándor, Quan-Hui Yang

For integer $h\ge 2$ and $A\subseteq \mathbb{N}$, we define $hA$ to be all integers which can be written as a sum of $h$ elements of $A$. The set $A$ is called an asymptotic basis o…