3 papers
math.NT2022
Effective bounds on -integral preperiodic points for polynomials
Marley Young
Given a polynomial defined over a number field , we make effective certain special cases of a conjecture of S. Ih, on the finiteness of -preperiodic points which are -…
math.NT2018
On algebraic integers of bounded house and preperiodicity in polynomial semigroup dynamics
Alina Ostafe, Marley Young
We consider semigroup dynamical systems defined by several polynomials over a number field , and the orbit (tree) they generate at a given point. We obtain finiteness r…
math.NT2017
On multiplicative independence of rational function iterates
Marley Young
We give lower bounds for the degree of multiplicative combinations of iterates of rational functions (with certain exceptions) over a general field, establishing the multiplicative…