Nearly perfect systems and effective generalizations of Shidlovski's theorem

DOI10.1016/0022-314X(81)90042-1zbMath0469.10010OpenAlexW2025612071MaRDI QIDQ1156826

Charles F. Osgood

Publication date: 1981

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-314x(81)90042-1

zbMATH Keywords

linear formslinear independencepartial differential operatoreffective proof of Shidlovskij's theoremsolution of linear differential system

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Linear ordinary differential equations and systems (34A30) Transcendence (general theory) (11J81) Differential algebra (12H05)

Related Items (3)

Product type bounds on the approximation of values of E- and G-functions ⋮ Équations différentielles linéaires et majorations de multiplicités ⋮ Sometimes effective Thue-Siegel-Roth-Schmidt-Nevanlinna bounds, or better

Cites Work

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• Continued fractions of algebraic power series in characteristic 2
• ESTIMATES FOR THE ORDERS OF ZEROS OF FUNCTIONS OF A CERTAIN CLASS AND APPLICATIONS IN THE THEORY OF TRANSCENDENTAL NUMBERS
• Formal Solutions of Irregular Linear Differential Equations. Part I
• Computable Algebra, General Theory and Theory of Computable Fields

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