A note on non-periodic greedy expansions in Salem base

DOI10.1007/s40993-024-00507-8WikidataQ129232520 ScholiaQ129232520MaRDI QIDQ6148984

Eiji Miyanohara

Publication date: 8 February 2024

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

zbMATH Keywords

greedy expansionSalem numbercomplextiyK. Schmidt's conjecture

Mathematics Subject Classification ID

Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Irrationality; linear independence over a field (11J72)

Cites Work

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• \(\beta\)-expansions in algebraic function fields over finite fields
• Diophantine properties of real numbers generated by finite automata
• On Periodic Expansions of Pisot Numbers and Salem Numbers
• On the beta expansion for Salem numbers of degree 6
• On the beta expansion of Salem numbers of degree 8
• Dynamics forβ-shifts and Diophantine approximation
• An arithmetical property of the real numbers generated by Thue-Morse sequence along squares
• Periodic expansion of one by Salem numbers