Dependence of logarithms on commutative algebraic groups

DOI10.1216/rmjm/1181072045zbMath0883.11036OpenAlexW2070130438MaRDI QIDQ1359160

Michel Waldschmidt

Publication date: 5 March 1998

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/vol26-3/contents/contents.htm

zbMATH Keywords

logarithms of algebraic numberscommutative algebraic groupsalgebraic independencelogarithmic dependence

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Transcendence (general theory) (11J81) Transcendence theory of elliptic and abelian functions (11J89) Group varieties (14L10)

Related Items (1)

On the \(p\)-adic closure of a subgroup of rational points on an abelian variety

Cites Work

• Algebraische Punkte auf analytischen Untergruppen algebraischer Gruppen. (Algebraic points on analytic subgroups of algebraic groups)
• Matrices whose coefficients are linear forms in logarithms
• Points whose coordinates are logarithms of algebraic numbers on algebraic varieties
• Points rationnels sur les sous-groupes compacts des groupes algebriques
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