Marley Young

collaborators

4 papers

math.NT2024

$S$ -integral preperiodic points for monomial semigroups over number fields

Marley Young

We consider semigroup dynamical systems defined by several monnomials over a number field $K$ . We prove a finiteness result for preperiodic points of such systems which are $S$ -int…

math.NT2024

On multiplicative dependence between elements of polynomial orbits

Marley Young

We classify the pairs of polynomials $f, g \in C [X]$ having orbits satisfying infinitely many multiplicative dependence relations, extending a result of Ghioca, Tucker and…

math.NT2024

On multiplicatively dependent vectors of polynomial values

Marley Young

Given polynomials $f_{1}, \dots, f_{n}$ in $m$ variables with integral coefficients, we give upper bounds for the number of integral $m$ -tuples $u_{1}, \dots, u_{n}$ of bo…

math.NT2022

Effective bounds on $S$ -integral preperiodic points for polynomials

Marley Young

Given a polynomial $f$ defined over a number field $K$ , we make effective certain special cases of a conjecture of S. Ih, on the finiteness of $f$ -preperiodic points which are $S$ -…

S-integral preperiodic points for monomial semigroups over number fields

On multiplicative dependence between elements of polynomial orbits

On multiplicatively dependent vectors of polynomial values

Effective bounds on S-integral preperiodic points for polynomials

$S$ -integral preperiodic points for monomial semigroups over number fields

Effective bounds on $S$ -integral preperiodic points for polynomials