Algebraic independence of the values of elliptic function at algebraic points. Elliptic analogue of the Lindemann-Weierstrass theorem

DOI10.1007/BF01390068zbMath0434.10024MaRDI QIDQ1139625

G. V. Choodnovsky

Publication date: 1980

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

Full work available at URL: https://eudml.org/doc/142761

zbMATH Keywords

complex multiplicationalgebraic independencetranscendence measureLindemann-Weierstrass theoremvalues of elliptic function at algebraic points

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Elliptic functions and integrals (33E05) Transcendence theory of elliptic and abelian functions (11J89)

Related Items (12)

On a measure of algebraic independence of modulus and values of Jacobi elliptic function ⋮ Наближення модулярних інваріантів, періодів та значень двох еліптичних функцій Якобі ⋮ Abelian varieties and algebraic independence. I ⋮ An effective version of the Lindemann-Weierstrass theorem using algebraic independence methods ⋮ On a measure of algebraic independence of values of Jacobi elliptic functions ⋮ Les nombres transcendants ⋮ Mahler's classification of complex numbers ⋮ Transcendence of infinite series over lattices ⋮ Elliptic Functions and Transcendence ⋮ Über das Abelsche Analogon des Lindemannschen Satzes. I ⋮ Abelian varieties and algebraic independence. II: An abelian analogue of the Lindemann-Weierstrass theorem ⋮ Field analogue of the Ruijsenaars-Schneider model

Cites Work

• Elliptic functions and transcendence
• Sequences of diophantine approximations
• Multiplicity estimates for analytic functions. I.
• Zur Approximation der Exponentialfunktion und des Logarithmus. Teil II.
• Transcendental Numbers. (AM-16)
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