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arXiv · 2211.00125

An invariant property of Mahler measure

Matilde Lalín·Siva Sankar Nair
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Abstract

We exhibit a change of variables that maintains the Mahler measure of a given polynomial. This method leads to the construction of highly non-trivial polynomials with given Mahler measure and settles some conjectural numerical formulas due to Boyd and Brunault.

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Matilde Lalín, Siva Sankar Nair. 2022-10-31. An invariant property of Mahler measure. https://doi.org/10.1112/blms.12778

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