Andrew Bridy

activity

20122019

collaborators

4 papers

math.NT2019

The Arakelov-Zhang pairing and Julia sets

Andrew Bridy, Matt Larson

The Arakelov-Zhang pairing $⟨ ψ, ϕ ⟩$ is a measure of the "dynamical distance" between two rational maps $ψ$ and $ϕ$ defined over a number field $K$ . It is defined in term…

math.NT2017

Finite index theorems for iterated Galois groups of cubic polynomials

Andrew Bridy, Thomas J. Tucker

Let $K$ be a number field or a function field. Let $f \in K (x)$ be a rational function of degree $d \geq 2$ , and let $β \in P^{1} (K)$ . For all $n \in N \cup {\infty}$ , th…

math.NT2017

The Generalized Nagell-Ljunggren Problem: Powers with Repetitive Representations

Andrew Bridy, Robert J. Lemke Oliver, Arlo Shallit +1

We consider a natural generalization of the Nagell-Ljunggren equation to the case where the qth power of an integer y, for q >= 2, has a base-b representation that consists of a le…

math.NT2012

On the Number of Distinct Functional Graphs of Affine-Linear Transformations over Finite Fields

Eric Bach, Andrew Bridy

We study the number of non-isomorphic functional graphs of affine-linear transformations from (\F_q)^n to itself, and we prove upper and lower bounds on this quantity for n large.…