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Criteria of algebraic independence with multiplicities and approximation by hypersurfaces

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Publication:2729302
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DOI10.1515/CRLL.2001.053zbMath0990.11047OpenAlexW1985137597MaRDI QIDQ2729302

Damien Roy, Michel Laurent

Publication date: 18 July 2001

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.2001.053


zbMATH Keywords

heightapproximationalgebraic independenceChow formsadelic convex bodies


Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Measures of irrationality and of transcendence (11J82)


Related Items (4)

An effective version of the Lindemann-Weierstrass theorem using algebraic independence methods ⋮ Auxiliary functions in transcendental number theory ⋮ Vectors of type II Hermite-Padé approximations and a new linear independence criterion ⋮ Diophantine approximation by algebraic hypersurfaces and varieties




Cites Work

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  • ON A MEASURE OF THE ALGEBRAIC INDEPENDENCE OF THE VALUES OF CERTAIN FUNCTIONS




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