# Two inequalities on the areal Mahler measure

Source: [Two inequalities on the areal Mahler measure](<https://www.sota2.com/research/paper/68fa51161e209131ce9710cd>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:55:32.832Z

Authors: Stephen K.K. Choi, Charles L. Samuels

Published: 2014-08-21T15:43:10.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1408.5040>)

[PDF](<https://arxiv.org/pdf/1408.5040.pdf>)