Approximation diophantienne et indépendance algébrique de logarithmes

DOI10.1016/S0012-9593(97)89938-7zbMath0895.11030MaRDI QIDQ4376757

Michel Waldschmidt, Damien Roy

Publication date: 17 June 1998

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1997_4_30_6_753_0

zbMATH Keywords

diophantine approximationalgebraic approximationsreal quadratic formssmall transcendence degreealgebraic independence of logarithms

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85)

Related Items (7)

APPROXIMATIONS FONCTIONNELLES DES COURBES DES ESPACES PROJECTIFS ⋮ Algebraic approximations of points in projective spaces. I ⋮ Auxiliary functions in transcendental number theory ⋮ Simultaneous approximation by algebraic numbers ⋮ Sur l'approximation algébrique en degré de transcendance un. (On algebraic approximation in transcendence degree one) ⋮ Approximation by algebraic numbers ⋮ Criteria of algebraic independence with multiplicities and interpolation determinants

Cites Work

• Simultaneous approximation and algebraic independence
• Transcendance et exponentielles en plusieurs variables
• Matrices whose coefficients are linear forms in logarithms
• Diophantine approximations and diophantine equations
• Nombres transcendants
• A methodic approach to the transcendence and algebraic independence of values of analytic functions
• Algebraic Geometry. I: Complex projective varieties.
• Points whose coordinates are logarithms of algebraic numbers on algebraic varieties
• Quadratic relations between logarithms of algebraic numbers
• Sequences of diophantine approximations
• The algebraic independence of certain numbers related by the exponential function
• Solution du huitieme problème de Schneider
• Approximation mit algebraischen Zahlen beschränkten Grades.
• Sur les ideaux dont l'image par l'application d'Artin dans une -extension est trivale.
• Criteria of algebraic independence with multiplicities and interpolation determinants
• Approximation diophantienne dans les groupes algbriques commutatifs. (I): Une version effective du thorme du sous-group algbrique.
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