# 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 Salle : Adresse : Description http://www.imj-prg.fr/tn/STN/stnj.html

 Orateur(s) Salman Baig - , Titre L-functions of elliptic curves over function fields Date 03/05/2010 Horaire 14:00 à 16:00 Diffusion Résume he $L$-function of a non-isotrivial elliptic curve over a function field is known to be a polynomial with integer coefficients. After discussing a brute-force method to compute this polynomial, we will provide optimizations that allow for the efficient computation of the $L$-function of any elliptic curve. These computations were carried out for a handful of curves to form a large database of elliptic curve $L$-functions that has been used for various investigations. Time permitting, we will discuss a pair of such investigations Salle Adresse