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The Mahler Measure of Nonreciprocal Polynomials

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Around the Unit Circle

Abstract

We show that the Mahler measure of a nonreciprocal integer polynomial has its minimum value for the polynomial \(z^{3} - z - 1\), and that this value is an isolated point in the set of such measures.

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Correspondence to James McKee .

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McKee, J., Smyth, C. (2021). The Mahler Measure of Nonreciprocal Polynomials. In: Around the Unit Circle. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-030-80031-4_12

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