On the rational approximation to the Thue-Morse-Mahler numbers
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Publication:416017
DOI10.5802/aif.2666zbMath1271.11074OpenAlexW2325835288MaRDI QIDQ416017
Publication date: 9 May 2012
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/219765
Measures of irrationality and of transcendence (11J82) Homogeneous approximation to one number (11J04)
Related Items (27)
Hankel determinants, Padé approximations, and irrationality exponents for \(p\)-adic numbers ⋮ VARIATIONS AROUND A PROBLEM OF MAHLER AND MENDÈS FRANCE ⋮ Hankel continued fraction and its applications ⋮ Evaluations of the Hankel determinants of a Thue–Morse-like sequence ⋮ Quadratic approximation to automatic continued fractions ⋮ On evil Kronecker sequences and lacunary trigonometric products ⋮ A combinatorial proof of the non-vanishing of Hankel determinants of the Thue-Morse sequence ⋮ On the rational approximation to Thue-Morse rational numbers ⋮ On the rational approximation to \(p\)-adic Thue-Morse numbers ⋮ On the spectrum of irrationality exponents of Mahler numbers ⋮ Irrationality exponent and convergence exponent in continued fraction expansions ⋮ On the irrationality measure of the Thue–Morse constant ⋮ Algebraic independence of the generating functions of Stern's sequence and of its twist ⋮ Continued fractions of certain Mahler functions ⋮ On the irrationality exponent of the regular paperfolding numbers ⋮ 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 ⋮ On the irrationality exponent of the generating function for a class of integer sequences ⋮ Automaticity of the Hankel determinants of difference sequences of the Thue-Morse sequence ⋮ Criteria for apwenian sequences ⋮ ON GENERALIZED THUE–MORSE FUNCTIONS AND THEIR VALUES ⋮ On simultaneous approximation of the values of certain Mahler functions ⋮ Jacobi continued fraction and Hankel determinants of the Thue-Morse sequence ⋮ On the automaticity of the Hankel determinants of a family of automatic sequences ⋮ On rational approximations of certain Mahler functions with a connection to the Thue–Morse sequence ⋮ Expansions of generalized Thue-Morse numbers
Uses Software
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