English

Prime divisors in polynomial orbits over function fields

Number Theory 2015-05-01 v1

Abstract

Given a polynomial ϕ\phi over a global function field KK and a wandering base point bKb\in K, we give a geometric condition on ϕ\phi ensuring the existence of primitive prime divisors for almost all points in the orbit Oϕ(b):={ϕn(b)}n0\mathcal{O}_\phi(b):=\{\phi^n(b)\}_{n\geq0}

Cite

@article{arxiv.1504.08334,
  title  = {Prime divisors in polynomial orbits over function fields},
  author = {Wade Hindes},
  journal= {arXiv preprint arXiv:1504.08334},
  year   = {2015}
}
R2 v1 2026-06-22T09:26:09.576Z