English

Dynamical uniform boundedness and the $abc$-conjecture

Number Theory 2019-01-15 v1 Dynamical Systems

Abstract

We address the Uniform Boundedness Conjecture of Morton and Silverman in the case of unicritical polynomials, assuming a generalization of the abcabc-conjecture. For unicritical polynomials of degree at least five, we require only the standard abcabc-conjecture.

Keywords

Cite

@article{arxiv.1901.04385,
  title  = {Dynamical uniform boundedness and the $abc$-conjecture},
  author = {Nicole Looper},
  journal= {arXiv preprint arXiv:1901.04385},
  year   = {2019}
}
R2 v1 2026-06-23T07:11:12.595Z