arXiv:1408.5040 [math.NT]AbstractReferencesReviewsResources
Two inequalities on the areal Mahler measure
Stephen K. K. Choi, Charles L. Samuels
Published 2014-08-21Version 1
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.
Journal: Illinois J. Math. 56 (2012), no. 3, 525--534
Categories: math.NT
Keywords: areal mahler measure, inequalities, pritskers original paper, areal version, lehmers conjecture
Tags: journal article
Related articles: Most relevant | Search more
arXiv:1602.01749 [math.NT] (Published 2016-02-04)
An equivariant version of Lehmer's conjecture on heights
arXiv:2506.18776 [math.NT] (Published 2025-06-23)
New evidence for Rémond's generalisation of Lehmer's conjecture
arXiv:1809.10600 [math.NT] (Published 2018-09-23)
A remark on a recent proof of Lehmer's Conjecture [arXiv:1709.03771]