Algebraic independence of certain numbers

DOI10.1007/S10114-999-0082-4zbMath0943.11035OpenAlexW1977780051MaRDI QIDQ1819111

Yong-Gao Chen, Yaochen Zhu

Publication date: 4 September 2000

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-999-0082-4

zbMATH Keywords

approximation methodscontinued fractionsalgebraic independencegeneralized Hecke-Mahler function

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Transcendence theory of other special functions (11J91)

Cites Work

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• Evertse theorem in algebraic independence
• On the generating function of the integer part: \([n\alpha{}+ \gamma{}\)]
• The Algebraic Independence of Certain Liouville Continued Fractions
• Über eine Klasse reeller transzendenter Zahlen mit explizit angebbarer g-adischer und Kettenbruch-Entwicklung.
• The algebraic independence of certain transcendental continued fractions
• An arithmetic property of Mahler's series

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