Mean values of L-functions in two different worlds
(ICERM – Brown University & IHÉS)
Amphitéâtre Léon Motchane (IHES)
Amphitéâtre Léon Motchane
Le Bois Marie
35, route de Chartres
In this talk I will discuss some of the ideas behind the difficult problem of computing the mean values of L-functions on the critical line. After a basic and brief discussion I will consider the same problem for function fields over a finite field, and in this case something `deeper' can be said.