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The Mahler measure of algebraic numbers: a survey

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arxiv math/0701397 v2 pith:D2G2RSHO submitted 2007-01-14 math.NT

Chris Smyth This is my paper · ORCID
classification math.NT
keywords algebraicmahlermeasureintegernumberspolynomialsresultssurvey
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A survey of results for Mahler measure of algebraic numbers, and one-variable polynomials with integer coefficients is presented. Related results on the maximum modulus of the conjugates (`house') of an algebraic integer are also discussed. Some generalisations are given too, though not to Mahler measure of polynomials in more than one variable.

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Cited by 1 Pith paper

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  1. Decomposing Words for Enhanced Compression: Exploring the Number of Runs in the Extended Burrows-Wheeler Transform

    cs.DS 2025-06 accept novelty 6.0 of 10

    For any minimum piece size, the best decomposition of a word yields an eBWT with a bounded number of runs, while the worst decomposition yields the maximum possible number; the ratio is unbounded.

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