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arXiv:math/0701397 [math.NT]AbstractReferencesReviewsResources

The Mahler measure of algebraic numbers: a survey

Chris Smyth

Published 2007-01-14, updated 2008-01-28Version 2

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.

Journal: Conference proceedings, University of Bristol, 3-7 April 2006, LMS Lecture Note Series 352, Cambridge University Press, Cambridge, 2008, pp. 322--349.
Categories: math.NT
Subjects: 11R06
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