Une mesure d'indépendance algébrique. (A measure of algebraic independence)

DOI10.5802/aif.1142zbMath0644.10026OpenAlexW2328369260MaRDI QIDQ1102319

Georges Philibert

Publication date: 1988

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

Full work available at URL: http://www.numdam.org/item?id=AIF_1988__38_3_85_0

zbMATH Keywords

Weierstrass elliptic functionsquasi-periodzero lemma

Mathematics Subject Classification ID

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

Related Items

A methodic approach to the transcendence and algebraic independence of values of analytic functions ⋮ Mesure d'approximation simultanée ⋮ An introduction to Mahler's method for transcendence and algebraic independence ⋮ ZERO ORDER ESTIMATES FOR ANALYTIC FUNCTIONS ⋮ Transcendence and modular functions ⋮ On the measure of algebraic independence of values of derivatives of a \(p\)-adic modular function ⋮ Elliptic Functions and Transcendence ⋮ Measures of simultaneous approximation for quasi-periods of Abelian varieties

Cites Work

• Quelques résultats de transcendance liés à l'invariant modulaire j. (Some transcendence results related to the modular invariant j)
• Linear forms in two logarithms and Schneider's method
• Algebraic independence criteria.
• Multiplicity estimates for analytic functions. I.
• Approximation algébrique de nombres lies aux fonctions elliptiques et exponentielle
• Algebraic grounds for the proof of algebraic independence. How to obtain measure of algebraic independence using elementary methods part I. Elementary algebra
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