On the distribution of the Cantor-integers

ChunYun Cao, Jie Yu

For any positive integer $p\ge 3$, let $A$ be a proper subset of $\{0,1,\dots ,p-1\}$ with $♯A=s\ge 2$. Suppose $h:\{0,1,\dots ,s-1\}\to A$ is a one-to-one map which is s…