Transcendence and algebraic independence: links between the elliptic and modular points of view

DOI10.1023/A:1009879120323zbMath1115.11312OpenAlexW200257270MaRDI QIDQ1591450

Guy Diaz

Publication date: 20 December 2000

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1009879120323

zbMATH Keywords

elliptic functionsalgebraic independencemodular invarianttranscendental numbersEisenstein's series

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Algebraic independence; Gel'fond's method (11J85) Transcendence theory of other special functions (11J91) Holomorphic modular forms of integral weight (11F11) Elliptic functions and integrals (33E05) Transcendence theory of elliptic and abelian functions (11J89)

Related Items (6)

Rational values of transcendental functions and arithmetic dynamics ⋮ A closure operator respecting the modular \(j\)-function ⋮ A Modular André–Oort Statement with Derivatives ⋮ Ax–Lindemann and André–Oort for a Nonholomorphic Modular Function ⋮ Elliptic Functions and Transcendence ⋮ Integrality properties in the moduli space of elliptic curves: CM case

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