English

Backward Orbit Conjecture for the Powering Map over Global Fields

Number Theory 2015-08-26 v1

Abstract

We show that the backward orbit conjecture is true for powering map ϕ(z)=zd\phi(z)=z^d over a function field KK with a finite field of constants, and when dd is relatively prime to the characteristic of KK.

Cite

@article{arxiv.1508.06023,
  title  = {Backward Orbit Conjecture for the Powering Map over Global Fields},
  author = {Vijay A. Sookdeo},
  journal= {arXiv preprint arXiv:1508.06023},
  year   = {2015}
}
R2 v1 2026-06-22T10:40:45.063Z