Integral points in orbits in characteristic $p$
Number Theory
2023-09-13 v2 Dynamical Systems
Abstract
We prove a characteristic version of a theorem of Silverman on integral points in orbits over number fields and establish a primitive prime divisor theorem for polynomials in this setting. We provide some applications of these results, including a finite index theorem for arboreal representations coming from quadratic polynomials over function fields of odd characteristic.
Cite
@article{arxiv.2108.03123,
title = {Integral points in orbits in characteristic $p$},
author = {Alexander Carney and Wade Hindes and Thomas J. Tucker},
journal= {arXiv preprint arXiv:2108.03123},
year = {2023}
}
Comments
19 pages