Rational torsion points on elliptic curves over number fields
Bas Edixhoven (1993-1994)
Séminaire Bourbaki
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Bas Edixhoven (1993-1994)
Séminaire Bourbaki
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Horst G. Zimmer (1977)
Mémoires de la Société Mathématique de France
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Everest, Graham, Ward, Thomas B. (2000)
The New York Journal of Mathematics [electronic only]
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Emanuel Herrmann, Attila Pethö (2001)
Journal de théorie des nombres de Bordeaux
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In this paper we give a much shorter proof for a result of B.M.M de Weger. For this purpose we use the theory of linear forms in complex and -adic elliptic logarithms. To obtain an upper bound for these linear forms we compare the results of Hajdu and Herendi and Rémond and Urfels.
Masato Kuwata (1990)
Compositio Mathematica
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Jung-Jo Lee (2014)
Czechoslovak Mathematical Journal
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A conjecture due to Honda predicts that given any abelian variety over a number field , all of its quadratic twists (or twists of a fixed order in general) have bounded Mordell-Weil rank. About 15 years ago, Rubin and Silverberg obtained an analytic criterion for Honda’s conjecture for a family of quadratic twists of an elliptic curve defined over the field of rational numbers. In this paper, we consider this problem over number fields. We will prove that the existence of a uniform...
Dorian Goldfeld, Lucien Szpiro (1995)
Compositio Mathematica
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Horst G. Zimmer (1979)
Manuscripta mathematica
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