Two inequalities on the areal Mahler measure
Number Theory
2014-08-22 v1
Abstract
Recent work of Pritsker defines and studies an areal version of the Mahler measure. We further explore this function with a particular focus on the case where its value is small, as this is most relevant to Lehmer's conjecture. In this situation, we provide improvements to two inequalities established in Pritsker's original paper.
Keywords
Cite
@article{arxiv.1408.5040,
title = {Two inequalities on the areal Mahler measure},
author = {Stephen K. K. Choi and Charles L. Samuels},
journal= {arXiv preprint arXiv:1408.5040},
year = {2014}
}