A certain power series and the inhomogeneous continued fraction expansions

DOI10.1006/jnth.1996.0099zbMath0872.11033OpenAlexW2041539046MaRDI QIDQ1924254

Takao Komatsu

Publication date: 24 November 1996

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1996.0099

zbMATH Keywords

transcendencealgebraic independenceMahler functioninhomogeneous continued fraction expansions

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Continued fractions and generalizations (11J70) Transcendence (general theory) (11J81)

Related Items (7)

Transcendence of numbers with a low complexity expansion ⋮ Combinatorial structure of Sturmian words and continued fraction expansion of Sturmian numbers ⋮ Initial nonrepetitive complexity of regular episturmian words and their Diophantine exponents ⋮ A new complexity function, repetitions in Sturmian words, and irrationality exponents of Sturmian numbers ⋮ Diophantine approximations and Sturmian numbers ⋮ Dynamics of 2-interval piecewise affine maps and Hecke-Mahler series ⋮ Combinatorial, ergodic and arithmetic properties of the Tribonacci substitution

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