# Séminaires : Séminaire Théorie des Nombres

 Equipe(s) : fa, tn, tga, Responsables : Marc Hindry, Bruno Kahn, Wieslawa Niziol, Cathy Swaenepoel Email des responsables : cathy.swaenepoel@imj-prg.fr Salle : Adresse : Description http://www.imj-prg.fr/tn/STN/stnj.html

 Orateur(s) G. Malle - , Titre Counting extensions of number fields Date 08/03/2004 Horaire 14:00 à 16:00 Diffusion Résume Given a number field $k$ and a finite group $G$ we are interested inthe number $N(k,G,x)$ of Galois extensions of $k$ with group $G$ andnorm of the discriminant bounded by $x$. We present a conjecture onthe asymptotic behaviour of this function as $x$ tends to $\infty$ (infact even for the case of non-Galois extensions), and give some evidencefor it. We will also report on the proof of a weak form of this conjecturein the case of nilpotent groups $G$ and related results. Salle Adresse