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Mahler Measures Close to an Integer
Published online by Cambridge University Press: 20 November 2018
Abstract
We prove that the Mahler measure of an algebraic number cannot be too close to an integer, unless we have equality. The examples of certain Pisot numbers show that the respective inequality is sharp up to a constant. All cases when the measure is equal to the integer are described in terms of the minimal polynomials.
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- Copyright © Canadian Mathematical Society 2002
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