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Publication:4033105
zbMath0774.11034MaRDI QIDQ4033105
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Publication date: 16 May 1993
Full work available at URL: http://www.numdam.org/item?id=ASNSP_1993_4_20_1_61_0
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Liouville's theoremmultiplicative groupirrationality measureseffective solution of Thue equationgeneralized Siegel's unit equationtheorem of Baker-Fel'dman
Measures of irrationality and of transcendence (11J82) Higher degree equations; Fermat's equation (11D41) Approximation to algebraic numbers (11J68) Multiplicative and norm form equations (11D57)
Related Items (14)
Dyson's theorem for curves ⋮ The sequence \(x/n\) and its subsequences ⋮ Une application nouvelle de la méthode de Thue. (A new application of Thue's method) ⋮ Logarithms of algebraic numbers ⋮ On modules of integral elements over finitely generated domains ⋮ 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 ⋮ Proof of the Baker-Feldman theorem via linear forms in two logarithms ⋮ Modular forms and effective Diophantine approximation ⋮ Effective bounds for solutions of \(S\)-unit equations and of Thue-Mahler equations ⋮ Unnamed Item ⋮ Local positivity and effective Diophantine approximation ⋮ Unnamed Item ⋮ Cubic Thue inequalities with negative discriminant.
Cites Work
- On Siegel's lemma
- On the method of Thue-Siegel
- On the Thue-Siegel-Dyson theorem
- Zur Approximation algebraischer Zahlen. I: Über den grössten Primteiler binärer Formen
- The approximation to algebraic numbers by rationals
- Logarithmic forms and group varieties.
- RATIONAL APPROXIMATIONS TO 23 AND OTHER ALGEBRAIC NUMBERS
- AN EFFECTIVE REFINEMENT OF THE EXPONENT IN LIOUVILLE'S THEOREM
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