Linear forms in elliptic logarithms

DOI10.1016/0022-314X(85)90016-2zbMath0555.10017OpenAlexW2039169221MaRDI QIDQ5895466

Kunrui Yu

Publication date: 1985

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-314x(85)90016-2

zbMATH Keywords

zero estimateselliptic curveheightslower boundsdependence relationscomplex multiplicationslinear forms in elliptic integralsmultihomogeneous zero estimate

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Elliptic curves (14H52) Regular local rings (13H05) Group varieties (14L10)

Related Items (9)

Algebraic groups and small transcendence degree. I ⋮ Unnamed Item ⋮ Diophantine approximations for periods of exponential and elliptic functions ⋮ Formes linéaires de logarithmes de points algébriques sur les groupes algébriques. (Linear forms in logarithms of algebraic points on algebraic groups) ⋮ Auxiliary functions and analytical functionals. I ⋮ Linear forms in elliptic logarithms ⋮ Diophantine approximation ⋮ Elliptic Functions and Transcendence ⋮ Zero estimates on group varieties. II

Cites Work

• Fields of large transcendence degree generated by values of elliptic functions
• Lower bounds for heights on elliptic curves
• Linear forms in elliptic integrals
• On polynomials and exponential polynomials in several complex variables
• Transcendance et exponentielles en plusieurs variables
• Multiplicity estimates for analytic functions. II
• Zero estimates on group varieties. I
• On the difference of the Weil height and the Neron-Tate height
• Linear forms in two logarithms and Schneider's method
• On Some Inequalities for Polynomials in Several Variables
• Division Fields of Elliptic Functions
• A lower bound for linear forms in logarithms
• Algebraic Groups and Algebraic Dependence
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