Non-zero digits in the expansion of irrational algebraic numbers in an integer base

DOI10.1016/j.crma.2011.12.002zbMath1264.11067OpenAlexW1975223257MaRDI QIDQ664910

Boris Adamczewski, Colin Faverjon

Publication date: 5 March 2012

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2011.12.002

zbMATH Keywords

algebraic numbersnon-zero digits

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)

Related Items

On the size of a restricted sumset with application to the binary expansion of √d ⋮ Nonnormality of Stoneham constants ⋮ Arithmetical properties of real numbers related to beta-expansions ⋮ Non-zero digits in the expansion of irrational algebraic numbers in an integer base ⋮ On the binary digits of $\sqrt{2}$ ⋮ Hypertranscendence and linear difference equations ⋮ On the beta-expansions of 1 and algebraic numbers for a Salem number beta

Cites Work

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• Non-zero digits in the expansion of irrational algebraic numbers in an integer base
• On the complexity of algebraic numbers
• On the binary expansions of algebraic numbers
• On the complexity of algebraic numbers. I: Expansions in integer bases
• On the expansion of some exponential periods in an integer base