Periods of rational maps modulo primes

Robert L. Benedetto, Dragos Ghioca, Benjamin Hutz +3

Let $K$ be a number field, let $\varphi \in K(t)$ be a rational map of degree at least 2, and let $\alpha ,\beta \in K$. We show that if $\alpha$ is not in the forward orbit of $\beta$, then there is a posi…