Product type bounds on the approximation of values of E- and G-functions

DOI10.1007/BF01565484zbMath0593.10032OpenAlexW2053607057MaRDI QIDQ1076066

Charles F. Osgood

Publication date: 1986

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178286

zbMATH Keywords

G-functionseffective boundsSiegel E-functionsproduct-type boundsproducts of linear forms

Mathematics Subject Classification ID

Transcendence (general theory) (11J81)

Related Items (4)

Simultaneous approximation to values of exponential function at algebraic points ⋮ Power savings for counting solutions to polynomial-factorial equations ⋮ Discrepancy of certain Kronecker sequences concerning transcendental numbers ⋮ On the equation \(P(x)=n!\) and a question of Erdős

Cites Work

• Unnamed Item
• Sometimes effective Thue-Siegel-Roth-Schmidt-Nevanlinna bounds, or better
• Nearly perfect systems and effective generalizations of Shidlovski's theorem
• Rational approximations to solutions of linear differential equations
• Rational approximations to linear forms of exponentials and binomials

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