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The Mahler measure of algebraic numbers: a survey

Chris Smyth
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Abstract

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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Chris Smyth. 2008-01-28. The Mahler measure of algebraic numbers: a survey. https://arxiv.org/abs/math/0701397

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