Abelian varieties and algebraic independence. II: An abelian analogue of the Lindemann-Weierstrass theorem

DOI10.1007/BF01398395zbMath0516.10026MaRDI QIDQ1052378

Patrice Philippon

Publication date: 1983

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143028

zbMATH Keywords

abelian varietiescomplex multiplicationalgebraic independenceWeierstrass elliptic functionzero lemmasanalog of Lindemann-Weierstrass theorem

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Transcendence theory of elliptic and abelian functions (11J89) Results involving abelian varieties (11J95)

Related Items (10)

Algebraic groups and small transcendence degree. I ⋮ On a measure of algebraic independence of modulus and values of Jacobi elliptic function ⋮ An abelian analogue of Schanuel's conjecture and applications ⋮ Algebraic groups and small transcendence degree. II ⋮ An effective version of the Lindemann-Weierstrass theorem using algebraic independence methods ⋮ A note on special values of 𝐿-functions ⋮ On a measure of algebraic independence of values of Jacobi elliptic functions ⋮ Les nombres transcendants ⋮ Transcendence of infinite series over lattices ⋮ Elliptic Functions and Transcendence

Cites Work

• Unnamed Item
• Algebraic independence of the values of elliptic function at algebraic points. Elliptic analogue of the Lindemann-Weierstrass theorem
• Multiplicity estimates for analytic functions. II
• Zero estimates on group varieties. I
• Abelian varieties and algebraic independence. I
• Transcendental Numbers. (AM-16)

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