A. Plessis

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20232026

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math.NT2026

Small points in radical extensions of number fields

Andrea Conti, Ilaria Del Corso, Arnaud Plessis +1

We study small points in radical extensions of algebraic fields. Given an algebraic extension $F$ of $Q$ , a finitely generated subgroup $Γ\subseteq \mathbb{F}^\ti…

math.NT2025

Lower bounds for heights on some algebraic dynamical systems

Arnaud Plessis, Satyabrat Sahoo

Let $v$ be a finite place of a number field $K$ and write $K^{n r, v}$ for the maximal field extension of $K$ in which $v$ is unramified. The purpose of this paper is split up into t…

math.NT2023

Equidistribution for sets which are not necessarily Galois stable: On a theorem of Mignotte

Francesco Amoroso, Arnaud Plessis

An important result of Bilu deals with the equidistribution of the Galois orbits of a sequence $(α_{n})_{n}$ in $Q^{*}$ . Here, we prove a quantitative equidistributio…