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The Infimum in the Metric Mahler Measure
Published online by Cambridge University Press: 20 November 2018
Abstract
Dubickas and Smyth defined the metric Mahler measure on the multiplicative group of non-zero algebraic numbers. The definition involves taking an infimum over representations of an algebraic number $\alpha $ by other algebraic numbers. We verify their conjecture that the infimum in its definition is always achieved, and we establish its analog for the ultrametric Mahler measure.
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- Copyright © Canadian Mathematical Society 2011
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