Evaluations of the areal Mahler measure of multivariable polynomials
Number Theory
2023-06-29 v1
Abstract
We exhibit some nontrivial evaluations of the areal Mahler measure of multivariable polynomials, defined by Pritsker [Pri08] by considering the integral over the product of unit disks instead of the unit torus as in the standard case. As in the case of the classical Mahler measure, we find examples yielding special values of -functions.
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Cite
@article{arxiv.2306.15727,
title = {Evaluations of the areal Mahler measure of multivariable polynomials},
author = {Matilde N. Lalin and Subham Roy},
journal= {arXiv preprint arXiv:2306.15727},
year = {2023}
}
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34 pages