Periodicity and pure periodicity in alternate base systems

DOI10.1007/s40993-024-00542-5MaRDI QIDQ6554730

Edita Pelantová, Zuzana Masáková

Publication date: 13 June 2024

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

zbMATH Keywords

Pisot numberperiodic expansionsalternate baseCantor real base

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)

Cites Work

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• Representations of real numbers by infinite series
• Periodic representations in Salem bases
• Expansions in Cantor real bases
• On periodic representations in non-Pisot bases
• Spectrum, algebraicity and normalization in alternate bases
• Finite beta-expansions
• Representations for real numbers and their ergodic properties
• On theβ-expansions of real numbers
• Rational numbers with purely periodic β -expansion
• On Periodic Expansions of Pisot Numbers and Salem Numbers
• On periodic alternate base expansions
• Rewriting rules for arithmetics in alternate base systems

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