On the beta expansion of Salem numbers of degree 8

DOI10.1112/S1461157014000035zbMath1293.11083MaRDI QIDQ5170266

Hachem Hichri

Publication date: 23 July 2014

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

zbMATH Keywords

Pisot numberSalem numberbeta expansionsimple beta number

Mathematics Subject Classification ID

Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Computational number theory (11Y99)

Related Items (5)

On periodic alternate base expansions ⋮ A note on non-periodic greedy expansions in Salem base ⋮ Periodic expansion of one by Salem numbers ⋮ On the co-factors of degree 6 Salem number beta expansions ⋮ Seventy years of Salem numbers

Cites Work

• On the distribution of certain Pisot numbers
• Beta-expansions for infinite families of Pisot and Salem numbers
• Power series with integral coefficients
• Representations for real numbers and their ergodic properties
• On theβ-expansions of real numbers
• On numbers having finite beta-expansions
• On Periodic Expansions of Pisot Numbers and Salem Numbers
• On the beta expansion for Salem numbers of degree 6

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