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THE MAHLER MEASURE OF TRINOMIALS OF HEIGHT 1
Published online by Cambridge University Press: 01 April 2014
Abstract
We study the Mahler measure of the trinomials ${z}^{n} \pm {z}^{k} \pm 1$. We give two criteria to identify those whose Mahler measure is less than $1. 381\hspace{0.167em} 356\cdots = M(1+ {z}_{1} + {z}_{2} )$. We prove that these criteria are true for $n$ sufficiently large.
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- Research Article
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- Copyright ©2013 Australian Mathematical Publishing Association Inc.
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