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arXiv · 2306.15727

Evaluations of the areal Mahler measure of multivariable polynomials

Matilde N. Lalin·Subham Roy
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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 $L$-functions.

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Matilde N. Lalin, Subham Roy. 2023-06-27. Evaluations of the areal Mahler measure of multivariable polynomials. https://arxiv.org/abs/2306.15727

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