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Speaker: Prof. Didier Lesesvre, Université de Lille Title: A connection between zeros and central values of L-functions Abstract: L-functions appear as generating functions encapsulating information about various objects such as Galois representations, elliptic curves, arithmetic functions, modular forms, Maass forms, etc. Studying L-functions is therefore of utmost importance in number theory at large. Two of their […]

Speaker: Prof. Emmanuel Royer, l’Université Clermont Auvergne and CRM Title: A formula for a weighted mean of Dirichlet L-functions Abstract We wish to present a recent work done with Sébastien Darses and Berend Ringeling. We extend to Dirichlet L-functions associated with arbitrary primitive characters a range of objects and properties—including Eisenstein series and period functions—that were […]