scientific article; zbMATH DE number 1102926

zbMath0912.11028MaRDI QIDQ4371383

Enrico Bombieri, Paula Beazley Cohen

Publication date: 17 May 1999

Full work available at URL: http://www.numdam.org/item?id=ASNSP_1997_4_24_2_205_0

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zbMATH Keywords

diophantine approximationdeterminantal methodnon-archimedean valuationseffective rationality measuresroots of high order

Mathematics Subject Classification ID

Rational points (14G05) Measures of irrationality and of transcendence (11J82) Approximation in non-Archimedean valuations (11J61)

Related Items (6)

Dyson's theorem for curves ⋮ Solving 𝑆-unit, Mordell, Thue, Thue–Mahler and Generalized Ramanujan–Nagell Equations via the Shimura–Taniyama Conjecture ⋮ On modules of integral elements over finitely generated domains ⋮ Proof of the Baker-Feldman theorem via linear forms in two logarithms ⋮ Effective bounds for solutions of \(S\)-unit equations and of Thue-Mahler equations ⋮ Local positivity and effective Diophantine approximation

Cites Work

• Unnamed Item
• Unnamed Item
• On Siegel's lemma
• On Roth's theorem
• Une application nouvelle de la méthode de Thue. (A new application of Thue's method)
• Logarithmic forms and group varieties.

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