Integrality estimates in orbits over function fields

TL;DR

This paper extends Silverman's dynamical integral point theorem to a broad class of rational functions over global function fields, providing new insights into integrality in dynamical systems.

Contribution

It introduces a generalized version of Silverman's theorem applicable to rational functions over global function fields, expanding the theoretical framework.

Findings

Established a version of Silverman's theorem for function fields.

Demonstrated integrality estimates for dynamical orbits.

Extended the scope of dynamical integral point results.

Abstract

We prove a version of Silverman's dynamical integral point theorem for a large class of rational functions defined over global function fields.