A. Miller

activity

20192023

most citedAsymptotics for the number of Simple

(4 a + 1)

-Knots of Genus 1

1 citations · 1 across the 4 of their papers we have counts for

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math.NT2022

Dynamical Mahler Measure: A survey and some recent results

Annie Carter, Matilde Lalín, Michelle Manes +1

We study the dynamical Mahler measure of multivariate polynomials and present dynamical analogues of various results from the classical Mahler measure as well as examples of formul…

math.NT2021

Two-variable polynomials with dynamical Mahler measure zero

Annie Carter, Matilde Lalín, Michelle Manes +2

We discuss several aspects of the dynamical Mahler measure for multivariate polynomials. We prove a weak dynamical version of Boyd--Lawton formula and we characterize the polynomia…

math.NT2020

On the number of binary quadratic forms having discriminant $1 - 4 p$ , $p$ prime

Alison Beth Miller, Stanley Yao Xiao

In this paper we obtain an asymptotic formula for the number of $SL_{2} (Z)$ -equivalence classes of positive definite binary quadratic forms over $\bZ$ having…

math.NT2019★ 1 cited

Asymptotics for the number of Simple $(4 a + 1)$ -Knots of Genus 1

Alison Beth Miller

We investigate the asymptotics of the total number of simple $4 a + 1$ -knots with Alexander polynomial of the form $m t^{2} + (1 - 2 m) t + m$ for some $m \in [- X, X]$ . Using Kearton and Lev…

Dynamical Mahler Measure: A survey and some recent results

Two-variable polynomials with dynamical Mahler measure zero

On the number of binary quadratic forms having discriminant 1−4p, p prime

Asymptotics for the number of Simple (4a+1)-Knots of Genus 1

On the number of binary quadratic forms having discriminant $1 - 4 p$ , $p$ prime

Asymptotics for the number of Simple $(4 a + 1)$ -Knots of Genus 1