Deligne has formulated deep conjectures on the zeroes of the L-functions associated to motives. Using the usual dictionary they translate into properties of automorphic L-fuctions. In the presence of self-duality these properties have been proved by Kret and myself using Eisenstein cohomology. I will report on work (with A. Kret and O. Taïbi) which extends these results to all number fields and greatly generalises them.