Number Theory and Polynomials: The Mahler measure of algebraic numbers: a survey

By C. Smyth. 2007

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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.

Subfields: Algebra and Number Theory, Music, Theoretical Computer Science

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