Transcendence of Thue-Morse \(p\)-adic continued fractions

DOI10.1007/s00009-015-0584-5zbMath1344.11051OpenAlexW2127325893MaRDI QIDQ305792

Tahar Zerzaihi, Rafik Belhadef, Henri-Alex Esbelin

Publication date: 31 August 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-015-0584-5

zbMATH Keywords

transcendencecontinued fractionsThue-Morse sequences\(p\)-adic number

Mathematics Subject Classification ID

Continued fractions (11A55) Transcendence (general theory) (11J81) (p)-adic and power series fields (11D88)

Related Items (2)

Continued fractions in the field of 𝑝-adic numbers ⋮ Simultaneous approximations to \(p\)-adic numbers and algebraic dependence via multidimensional continued fractions

Cites Work

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• Approximation lattices of \(p\)-adic numbers
• Transcendence of Thue-Morse continued fractions
• On the complexity of algebraic numbers. II: Continued fractions
• On the complexity of algebraic numbers. I: Expansions in integer bases
• Continued fractions in local fields, II
• On products of special linear forms with algebraic coefficients
• Automatic Sequences

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