On the cardinality of general $h$-fold sumsets

Quan-Hui Yang, Yong-Gao Chen

Let $A=\{a_0,a_1,\dots ,a_{k-1}\}$ be a set of $k$ integers. For any integer $h\ge 1$ and any ordered $k$-tuple of positive integers $\mathbf{r}=(r_0,r_1,\dots ,r_{k-1})$, we defin…