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) N. Hirata - ,
Titre Diophantine Problems on Elliptic Curves.
Date26/06/2000
Horaire14:00 à 16:00
Diffusion
RésumeWe give here an estimate of lower bound for linear forms inlogarithms associated with elliptic curves defined over a numberfield. This is a joint work with Sinnou David of Paris 6 University.Our result shows the best possible estimate concerning with height ofcoefficients of the linear forms, not necessarily on elliptic curveswith complex multiplication. Our main idea comes from a variablechange considered by G.~V. Chudnovsky in the late 70's.
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