Hankel determinants, Padé approximations, and irrationality exponents for \(p\)-adic numbers

DOI10.1007/s10231-016-0602-7zbMath1435.11094OpenAlexW2513556490MaRDI QIDQ2362870

Jia-Yan Yao, Yann Bugeaud

Publication date: 14 July 2017

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-016-0602-7

zbMATH Keywords

periodicityHankel determinantThue-Morse sequenceautomatic sequenceirrationality exponentregular paperfolding sequencestern sequence

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Measures of irrationality and of transcendence (11J82) Automata sequences (11B85) Sequences (mod (m)) (11B50) Irrationality; linear independence over a field (11J72)

Related Items (3)

Classical and uniform exponents of multiplicative \(p\)-adic approximation ⋮ On the rational approximation to \(p\)-adic Thue-Morse numbers ⋮ Decomposability and computability

Cites Work

• On the rational approximation to the Thue-Morse-Mahler numbers
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• Addendum to: On the rational approximation of the sum of the reciprocals of the Fermat numbers
• On the complexity of algebraic numbers. I: Expansions in integer bases
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