Beta expansion of Salem numbers approaching Pisot numbers with the finiteness property

DOI10.4064/aa168-2-2zbMath1387.11077OpenAlexW2319239467MaRDI QIDQ5246949

Hachem Hichri

Publication date: 22 April 2015

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa168-2-2

zbMATH Keywords

Pisot numbersSalem numbersfiniteness propertybeta 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 (1)

Periodic expansion of one by Salem numbers

Cites Work

• Beta-expansions for infinite families of Pisot and Salem numbers
• Confluent linear numeration systems
• Finite beta-expansions
• The zeta function of the beta transformation
• THERE ARE SALEM NUMBERS OF EVERY TRACE

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