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On the beta expansion of Salem numbers of degree 8

Published online by Cambridge University Press:  01 June 2014

Hachem Hichri*
Affiliation:
Departement de Mathematiques (UR11ES50), Faculté des sciences de Monastir , Université de Monastir, Monastir 5019, Tunisie email [email protected]

Abstract

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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.

Type
Research Article
Copyright
© The Author 2014 

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