scientific article; zbMATH DE number 1021775

zbMath0879.11035MaRDI QIDQ4339612

Enrico Bombieri, Alfred J. van der Poorten, Jeffrey D. Vaaler

Publication date: 1 December 1997

Full work available at URL: http://www.numdam.org/item?id=ASNSP_1996_4_23_2_211_0

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zbMATH Keywords

cubic extensionseffective diophantine approximationeffective irrationality measure

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82) Diophantine inequalities (11J25)

Related Items (10)

Dyson's theorem for curves ⋮ Sums of heights of algebraic numbers ⋮ Orbits of algebraic numbers with low heights ⋮ Kronecker's and Newton's approaches to solving: a first comparison ⋮ On the distribution of points in projective space of bounded height ⋮ Search bounds for zeros of polynomials over the algebraic closure of \(\mathbb Q\) ⋮ Effective bounds for solutions of \(S\)-unit equations and of Thue-Mahler equations ⋮ Life and Mathematics of Alfred Jacobus van der Poorten (1942–2010) ⋮ Local positivity and effective Diophantine approximation ⋮ Cubic Thue inequalities with negative discriminant.

Cites Work

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• On Siegel's lemma
• On the method of Thue-Siegel
• Dyson's lemma for products of two curves of arbitrary genus
• Capacity theory on algebraic curves
• Simultaneous approximation to algebraic numbers by elements of a number field
• On the Thue-Siegel-Dyson theorem
• Modèles minimaux des variétés abéliennes sur les corps locaux et globaux
• The Number of Irreducible Factors of a Polynomial. I
• Linear forms in the logarithms of algebraic numbers
• RATIONAL APPROXIMATIONS TO 23 AND OTHER ALGEBRAIC NUMBERS
• AN EFFECTIVE REFINEMENT OF THE EXPONENT IN LIOUVILLE'S THEOREM

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