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On the beta expansion of Salem numbers of degree 8
Published online by Cambridge University Press: 01 June 2014
Abstract
Boyd showed that the beta expansion of Salem numbers of degree 4 were always eventually periodic. Based on an heuristic argument, Boyd had conjectured that the same is true for Salem numbers of degree 6 but not for Salem numbers of degree 8. This paper examines Salem numbers of degree 8 and collects experimental evidence in support of Boyd’s conjecture.
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- © The Author 2014
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