Dynamical Irreducibility of Certain Families of Polynomials over Finite Fields
Number Theory
2024-09-17 v1 Dynamical Systems
Abstract
We determine necessary and sufficient conditions for unicritical polynomials to be dynamically irreducible over finite fields. This result extends the results of Boston-Jones and Hamblen-Jones-Madhu regarding the dynamical irreducibility of particular families of unicritical polynomials. We also investigate dynamical irreducibility conditions for cubic and shifted linearized polynomials.
Keywords
Cite
@article{arxiv.2409.10467,
title = {Dynamical Irreducibility of Certain Families of Polynomials over Finite Fields},
author = {Tori Day and Rebecca DeLand and Jamie Juul and Cigole Thomas and Bianca Thompson and Bella Tobin},
journal= {arXiv preprint arXiv:2409.10467},
year = {2024}
}