Beta expansion for some particular sequences of Salem numbers

DOI10.1142/S1793042114500729zbMath1316.11095WikidataQ114072041 ScholiaQ114072041MaRDI QIDQ2931756

Hachem Hichri

Publication date: 27 November 2014

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Salem numbersbeta expansionbeta numbers

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 (2)

Periodic expansion of one by Salem numbers ⋮ Seventy years of Salem numbers

Cites Work

• Unnamed Item
• Beta-expansions for infinite families of Pisot and Salem numbers
• Small Salem numbers
• A characterization of two related classes of 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
• Conjugates of Beta-Numbers and the Zero-Free Domain for a Class of Analytic Functions
• The zeta function of the beta transformation
• THERE ARE SALEM NUMBERS OF EVERY TRACE
• On the beta expansion for Salem numbers of degree 6
• Salem numbers of negative trace
• Salem Numbers, Pisot Numbers, Mahler Measure, and Graphs

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