Emerald Stacy

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20192024

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math.NT2020

Totally p-adic Numbers of Degree 3

Emerald Stacy

The height of an algebraic number $α$ is a measure of how arithmetically complicated $α$ is. We say $α$ is totally $p$ -adic if the minimal polynomial of $α$ splits completely over…

math.NT2019

A dynamical construction of small totally $p$ -adic algebraic numbers

Clayton Petsche, Emerald Stacy

We give a dynamical construction of an infinite sequence of distinct totally $p$ -adic algebraic numbers whose Weil heights tend to the limit $\frac{l o g p}{p - 1}$ , thus giving a new…

Totally p-adic Numbers of Degree 3

A dynamical construction of small totally p-adic algebraic numbers

A dynamical construction of small totally $p$ -adic algebraic numbers