Nontriviality of rings of integral-valued polynomials

Giulio Peruginelli, Nicholas J. Werner

Let $S$ be a subset of $\overline{\mathbb{Z}}$, the ring of all algebraic integers. A polynomial $f\in \mathbb{Q}[X]$ is said to be integral-valued on $S$ if $f(s) \in \overline{\ma…