Beta-expansions for infinite families of Pisot and Salem numbers

DOI10.1016/j.jnt.2008.02.010zbMath1221.11162OpenAlexW2002514595MaRDI QIDQ954889

David Tweedle, Kevin G. Hare

Publication date: 18 November 2008

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2008.02.010

zbMATH Keywords

Pisot numberSalem numberbeta-expansion

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items (7)

Beta expansion for some particular sequences of Salem numbers ⋮ On the comparison of discounted-sum automata with multiple discount factors ⋮ Beta-expansions for infinite families of Pisot and Salem numbers ⋮ On the beta expansion of Salem numbers of degree 8 ⋮ Limit theorems related to beta-expansion and continued fraction expansion ⋮ Beta expansion of Salem numbers approaching Pisot numbers with the finiteness property ⋮ Seventy years of Salem numbers

Cites Work

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• Computational excursions in analysis and number theory
• Beta-expansions for infinite families of Pisot and Salem numbers
• Pisot numbers in the neighbourhood of a limit point. I
• Subexpansions, superexpansions and uniqueness properties in non-integer bases
• Factorization of certain cyclotomic functions
• From greedy to lazy expansions and their driving dynamics
• Algebraic integers whose conjugates lie in the unit circle
• Pisot Numbers in the Neighborhood of a Limit Point. II
• Representations for real numbers and their ergodic properties
• On theβ-expansions of real numbers
• On univoque Pisot numbers
• Reciprocal Polynomials Having Small Measure
• Pisot and Salem Numbers in Intervals of the Real Line
• Polynomials with small Mahler measure
• Reciprocal polynomials having small measure. II
• On the beta expansion for Salem numbers of degree 6
• Ensembles fermés de nombres algébriques

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