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Mahler Measures of Polynomials in Several Variables

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Abstract

We discuss the Mahler measure of polynomials in any number of variables, including Boyd’s Conjecture that the set \(\mathcal L\) of such measures is a closed set. We find closed subsets of \(\mathcal L\). We evaluate explicit formulae for some Mahler measures.

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Correspondence to James McKee .

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McKee, J., Smyth, C. (2021). Mahler Measures of Polynomials in Several Variables. In: Around the Unit Circle. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-030-80031-4_2

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