Proof of the Baker-Feldman theorem via linear forms in two logarithms

DOI10.5802/jtnb.262zbMath1010.11036OpenAlexW1988684846MaRDI QIDQ5939692

Yuri F. Bilu, Yann Bugeaud

Publication date: 30 July 2001

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2000__12_1_13_0

zbMATH Keywords

logarithms of algebraic numbersmeasure of linear independencemeasures of linear independence for two logarithmsSchneider's transcendence method

Mathematics Subject Classification ID

Linear forms in logarithms; Baker's method (11J86) Approximation to algebraic numbers (11J68)

Related Items (2)

Effective irrationality measures for real and p-adic roots of rational numbers close to 1, with an application to parametric families of Thue–Mahler equations ⋮ Effective simultaneous rational approximation to pairs of real quadratic numbers

Cites Work

• Effective bounds for solutions of \(S\)-unit equations and of Thue-Mahler equations
• Linear forms in two logarithms and interpolation determinants
• Logarithmic forms and group varieties.
• A sharpening of the bounds for linear forms in logarithms III
• Linear forms in two logarithms and interpolation determinants
• Minorations de Combinaisons Linéaires de Logarithmes de Nombres Algébriques
• Bounds for the solutions of Thue-Mahler equations and norm form equations
• Contributions to the theory of diophantine equations I. On the representation of integers by binary forms
• Linear forms in the logarithms of algebraic numbers
• IMPROVED ESTIMATE FOR A LINEAR FORM OF THE LOGARITHMS OF ALGEBRAIC NUMBERS
• AN EFFECTIVE REFINEMENT OF THE EXPONENT IN LIOUVILLE'S THEOREM
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