A combinatorial proof of the non-vanishing of Hankel determinants of the Thue-Morse sequence

zbMath1298.05008arXiv1406.1587MaRDI QIDQ406696

Guo-Niu Han, Yann Bugeaud

Publication date: 9 September 2014

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.1587

zbMATH Keywords

Hankel determinantThue-Morse sequencecombinatorial proof

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Measures of irrationality and of transcendence (11J82) Automata sequences (11B85)

Related Items

On the \(t\)-adic Littlewood conjecture ⋮ Hankel continued fraction and its applications ⋮ Hankel determinant calculus for the Thue-Morse and related sequences ⋮ On \(t\)-extensions of the Hankel determinants of certain automatic sequences ⋮ On the automaticity of sequences defined by the Thue–Morse and period-doubling Stieltjes continued fractions ⋮ Hankel matrices for the period-doubling sequence ⋮ Anti-power prefixes of the Thue-Morse word ⋮ Anti-power $j$-fixes of the Thue-Morse word ⋮ Jacobi continued fraction and Hankel determinants of the Thue-Morse sequence ⋮ On the automaticity of the Hankel determinants of a family of automatic sequences

Cites Work

• On the rational approximation to the Thue-Morse-Mahler numbers
• Diophantine approximation
• Hankel determinants of the Thue-Morse sequence
• On the rational approximation of the sum of the reciprocals of the Fermat numbers

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