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) B. Ramakrishnan - ,
Titre Non-vanishing of L-functions of half-integral weight
Date22/09/2008
Horaire14:00 à 16:00
RésumeIn 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.
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