Two-variable polynomials with dynamical Mahler measure zero
Number Theory
2022-04-19 v2 Dynamical Systems
Abstract
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 polynomials with integer coefficients having dynamical Mahler measure zero both for the case of one variable (Kronecker's lemma) and for the case of two variables, under the assumption that the dynamical version of Lehmer's question is true.
Cite
@article{arxiv.2110.06496,
title = {Two-variable polynomials with dynamical Mahler measure zero},
author = {Annie Carter and Matilde Lalín and Michelle Manes and Alison Beth Miller and Lucia Mocz},
journal= {arXiv preprint arXiv:2110.06496},
year = {2022}
}
Comments
Corrections and updates based on referee report. One section (former section 2) removed