English

A criterion for Lubin's conjecture

Number Theory 2023-09-27 v1

Abstract

We prove that a formulation of a conjecture of Lubin regarding two power series commuting for the composition is equivalent to a criterion of checking that some extensions generated by the nonarchimedean dynamical system arising from the power series are Galois. As a consequence of this criterion, we obtain a proof of Lubin's conjecture in a new case.

Keywords

Cite

@article{arxiv.2309.14926,
  title  = {A criterion for Lubin's conjecture},
  author = {Léo Poyeton},
  journal= {arXiv preprint arXiv:2309.14926},
  year   = {2023}
}
R2 v1 2026-06-28T12:32:45.411Z