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 :



Orateur(s) Salman Baig - ,
Titre L-functions of elliptic curves over function fields
Horaire14:00 à 16:00
Résumehe $L$-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