Simultaneous approximation measures for functions satisfying generalized functional equations of Mahler type

DOI10.1007/BF02940803zbMath0873.11044OpenAlexW1987381845MaRDI QIDQ1349474

Thomas Töpfer

Publication date: 30 October 1997

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02940803

zbMATH Keywords

zero estimategeneralized functional equations of Mahler typesimultaneous approximation measure

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Measures of irrationality and of transcendence (11J82) Simultaneous homogeneous approximation, linear forms (11J13)

Cites Work

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• On a problem of Mahler for transcendency of function values. II
• Transcendence measures and nonlinear functional equations of Mahler type
• Transcendence measure of values of functions satisfying certain functional equations
• Algebraic independence of the values of certain series by Mahler's method
• Transcendency of local conjugacies in complex dynamics and transcendency of their values
• Remarks on a paper by W. Schwarz
• Valeurs algébriques de fonctions analytiques
• Zero order estimates for functions satisfying generalized functional equations of Mahler type
• Transcendence of the values of functions satisfying generalized Mahler type functional equations.
• Algebraic independence of the values of generalized Mahler functions

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