Brian Kintu

Counting the number of $2_{n}$-preperiodic integral points of a discrete dynamical system with applications from arithmetic statistics, IX

In this follow-up paper, we inspect a surprising relationship between the set of (strictly) $2_{n}$-preperiodic points of a polynomial map $\varphi_{d, c}$ defined by $\varphi_{d, c}(z) = z^d + c$ for all $c, z \in \mathbb{Z}$ and the coefficient $c$, where $d>2$ is an integer an...

Counting the number of $1_{n}$-preperiodic $\mathbb{Z}_{p}$- and $\mathbb{F}_{p}[t]$-points of a discrete dynamical system with applications from arithmetic statistics, VIII

In this follow-up paper, we again inspect an astonishing relationship between the set of (strictly) $1_{n}$-preperiodic points of a polynomial map $\varphi_{d, c}$ defined by $\varphi_{d, c}(z) = z^d + c$ for all $c, z \in \mathbb{Z}_{p}$ or $c, z \in \mathbb{F}_{p}[t]$ and the c...