Sur l'approximation algébrique en degré de transcendance un. (On algebraic approximation in transcendence degree one)

DOI10.5802/aif.1668zbMath0923.11105OpenAlexW2330818646MaRDI QIDQ1288630

Damien Roy, Michel Laurent

Publication date: 16 May 1999

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1999__49_1_27_0

zbMATH Keywords

transcendencediophantine approximationalgebraic independencelogarithmic heightaffine algebraic curveTaylor coefficients of an implicit functionupper estimates on heights

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Transcendence (general theory) (11J81)

Related Items (8)

APPROXIMATIONS FONCTIONNELLES DES COURBES DES ESPACES PROJECTIFS ⋮ On the global distance between two algebraic points on a curve. ⋮ Algebraic approximations of points in projective spaces. I ⋮ SMALL VALUE ESTIMATES FOR THE ADDITIVE GROUP ⋮ Simultaneous approximation by algebraic numbers ⋮ Measures of linear independence of logarithms on a commutative algebraic group ⋮ Approximation by algebraic numbers ⋮ Measures of simultaneous approximation for quasi-periods of Abelian varieties

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Une combinatoire sous-jacente au théorème des fonctions implicites. (Combinatorics underlying the implicit functions theorem)
• Simultaneous approximation and algebraic independence
• Une théorie combinatoire des séries formelles
• A methodic approach to the transcendence and algebraic independence of values of analytic functions
• Algebraic independence criteria.
• Algebraic Geometry. I: Complex projective varieties.
• On alternative heights. III
• Sequences of diophantine approximations
• Approximation mit algebraischen Zahlen beschränkten Grades.
• On Some Inequalities for Polynomials in Several Variables
• Criteria of algebraic independence with multiplicities and interpolation determinants
• Heights of Projective Varieties and Positive Green Forms
• Une nouvelle propriété d'approximation diophantienne
• Approximation diophantienne et indépendance algébrique de logarithmes

This page was built for publication: Sur l'approximation algébrique en degré de transcendance un. (On algebraic approximation in transcendence degree one)