Séminaires : Séminaire Théorie des Nombres

Equipe(s) : tn,
Responsables :Ziyang Gao, Marc Hindry, Bruno Kahn, João Pedro P. dos Santos
Email des responsables : ziyang.gao@imj-prg.fr
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Orateur(s) A. Silverberg - ,
Titre Ranks of elliptic curves in families of quadratic twists.
Date13/03/2000
Horaire14:00 à 16:00
Diffusion
RésumeWe discuss ranks of quadratic twists of elliptic curves. In jointwork with Karl Rubin we show that the unboundedness of the ranks ofthe quadratic twists of an elliptic curve over the field of rationalnumbers is equivalent to the divergence of certain infinite series.
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