Arithmetical properties of a certain power series

DOI10.1016/0022-314X(92)90109-3zbMath0770.11039MaRDI QIDQ1208158

Iekata Shiokawa, Jun-ichi Tamura, Kumiko Nishioka

Publication date: 16 May 1993

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

zbMATH Keywords

continued fractionsubstitutionsalgebraic independenceirrationality measuresbilliard problemgap-like seriesMahler-type functional equations

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Measures of irrationality and of transcendence (11J82)

Related Items (16)

The fractional part of \(n\theta + \phi\) and Beatty sequences ⋮ Transcendence of numbers with a low complexity expansion ⋮ On the characteristic word of the inhomogeneous Beatty sequence ⋮ Transcendental numbers having explicit $g$-adic and Jacobi-Perron expansions ⋮ Complexité de suites définies par des billards rationnels ⋮ A representation theorem of the suffixes of characteristic sequences ⋮ Results on fractional parts of linear functions of n and applications to Beatty sequences ⋮ On inhomogeneous Diophantine approximation with some quasi-periodic expressions. II. ⋮ Combinatorial properties of sequences defined by the billiard in the tesselation triangles ⋮ A Simple Proof of a Remarkable Continued Fraction Identity ⋮ Diophantine approximations and Sturmian numbers ⋮ Dynamics of 2-interval piecewise affine maps and Hecke-Mahler series ⋮ Unnamed Item ⋮ Description of sequences defined by billiards in the cube ⋮ Certain words on the real projective line ⋮ Combinatorial, ergodic and arithmetic properties of the Tribonacci substitution

Cites Work

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• On real quadratic fields and periodic expansions
• Evertse theorem in algebraic independence
• Some classes of transcendental numbers
• Über eine Klasse reeller transzendenter Zahlen mit explizit angebbarer g-adischer und Kettenbruch-Entwicklung.
• Arithmetic properties of certain functions in several variables III
• A Remarkable Class of Continued Fractions
• Irrational Power Series. III

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