Unicritical polynomial maps with rational multipliers

Valentin Huguin (1)

1 IMT - Institut de Mathématiques de Toulouse UMR5219

In this article, we prove that every unicritical polynomial map that has only rational multipliers is either a power map or a Chebyshev map. This provides some evidence in support of a conjecture by Milnor concerning rational maps whose multipliers are all integers.

Domaines: Mathématiques [math]

Valentin Huguin. Unicritical polynomial maps with rational multipliers. 2020. ⟨hal-02933124⟩