W. Hindes

collaborators

3 papers

math.NT2025

Preperiodic integers for $x^{d} + c$ in large degree

John R. Doyle, Wade Hindes

Given a number field $K$ , we completely classify the preperiodic portraits of the maps $x^{d} + c$ where $c \in K$ is an algebraic integer and $d$ is sufficiently large depending on the…

math.NT2025

Prime-powered images and irreducible polynomials in dynamical semigroups

Aristaa Bhardwaj, Adrian Boyer-Paulet, Wade Hindes +2

Let $G = ⟨ x^{d} + c_{1}, \dots, x^{d} + c_{s} ⟩$ be a semigroup generated under composition for some $c_{1}, \dots, c_{s} \in Z$ and some $d \geq 2$ . Then we prove that, outside of an e…

math.NT2025

On the factorization of iterates of $x^{d} + c$ in large degree

Wade Hindes

Let $K$ be a function field of a curve in characteristic zero or a number field over which the $ab c$ -conjecture holds, fix $I^\pm \in K$ , and let $f_{d, c} (x) = x^{d} + c$ for some $d \geq 2$ a…

Preperiodic integers for xd+c in large degree

Prime-powered images and irreducible polynomials in dynamical semigroups

On the factorization of iterates of xd+c in large degree

Preperiodic integers for $x^{d} + c$ in large degree

On the factorization of iterates of $x^{d} + c$ in large degree