Wayne Peng

collaborators

2 papers

math.NT2025

Periodicity and Dynamical Systems of Dickson Polynomials in Finite Fields

Wayne Peng, Yen-Ju Chen

This paper investigates the dynamical properties of the Dickson polynomials $D_{n} (x, α)$ of the first kind over finite fields, with an emphasis on the periodicity and algebraic stru…

math.NT2025

Overgroups of the arboreal representation of PCF polynomial

Wayne Peng

Consider a number field $K$ and a rational function $f$ of degree greater than 1 over $K$ . By taking preimages of $α \in K$ under successive iterates of $f$ , an infinite $d$ -ary tre…