Rational approximations to solutions of linear differential equations

DOI10.1073/pnas.80.16.5158zbMath0516.12019OpenAlexW2077799146WikidataQ37346778 ScholiaQ37346778MaRDI QIDQ3663401

D. V. Chudnovsky, G. V. Choodnovsky

Publication date: 1983

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.80.16.5158

zbMATH Keywords

algebraic differential equationsRoth theoremADEPicard-Vessiot extensionsSchmidt theoremKolchin problemPade type approximationsrational approximations of algebraic numbers in Archimedean and non-Archimedean metrics

Mathematics Subject Classification ID

Padé approximation (41A21) Differential algebra (12H05) Abstract differential equations (12H20) Approximation to algebraic numbers (11J68) Approximation in non-Archimedean valuations (11J61)

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