# 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) B. Ramakrishnan - , Titre Non-vanishing of L-functions of half-integral weight Date 22/09/2008 Horaire 14:00 à 16:00 Diffusion Résume In this talk we report about our joint work with V. Kumar Murty andM. Manickam on the twisted averages of $L$-functions of integraland half integral weight modular forms. We show that given a halfintegral weight form $f$ of weight $k+1/2$, for sufficiently large primes$l$, a positive proportion of twists $L(f,\chi,k/2+1/4)$ by characters$\chi$ mod $l$ are non zero. This is not known in the case of integralweight forms. Salle Adresse