Algebraic independence by approximation method

DOI10.1007/BF02580432zbMath0920.11047OpenAlexW3146189315WikidataQ126267763 ScholiaQ126267763MaRDI QIDQ4209706

Yaochen Zhu

Publication date: 21 June 1999

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

Full work available at URL: https://doi.org/10.1007/bf02580432

zbMATH Keywords

transcendenceapproximation methodalgebraic independencecomplex numbersgap series

Mathematics Subject Classification ID

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

Related Items

Algebraic independence of certain generalized Mahler type numbers ⋮ Algebraic independence of certain values of exponential function ⋮ Algebraic independence by approximation method. II

Cites Work

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• A criterion for algebraic independence with some applications
• Proof of Masser's conjecture on the algebraic independence of values of Liouville series
• Evertse theorem in algebraic independence
• Arithmetical properties of gap series with algebraic coefficients
• The algebraic independence of certain transcendental continued fractions