Lower bounds for heights on elliptic curves

DOI10.1007/BF01215078zbMath0421.14006MaRDI QIDQ1132925

David W. Masser, M. Anderson

Publication date: 1980

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172991

zbMATH Keywords

elliptic curvecomplex multiplicationalgebraic integerslogarithmic Neron-Tate height

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Special algebraic curves and curves of low genus (14H45) Elliptic curves (14H52) Complex multiplication and abelian varieties (14K22)

Related Items (8)

Points of small height on elliptic curves ⋮ Small Salem numbers, exceptional units, and Lehmer's conjecture ⋮ Counting points of small height on elliptic curves ⋮ Unnamed Item ⋮ A lower bound for the canonical height on elliptic curves over abelian extensions. ⋮ Linear forms in elliptic logarithms ⋮ Heights of points on elliptic curves over ℚ ⋮ Elliptic Functions and Transcendence

Cites Work

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• Elliptic functions and transcendence
• Diophantine approximation and lattices with complex multiplication
• Factorization of certain cyclotomic functions
• Quasi-functions and heights on abelian varieties
• On a question of Lehmer and the number of irreducible factors of a polynomial
• Kummer theory on the product of an elliptic curve by the multiplicative group
• Multiplicative relations in number fields
• Algebraic integers whose conjugates lie near the unit circle
• Algebraic integers near the unit circle

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