PIMS Distinguished Lecture: Olivier Ramaré

Motohashi (following Selberg) developped in 1978 a method to prove the Hoheisel and Linnik theorem without any deep mention of the zeros. We will present this approach. The first lecture will be a sketch of the argument and will introduce the tools (Barban & Vehov weights, large sieve inequality, bilinear decomposition) while the seond one will be devoted to the proof in itself. We will also fill in as many details as time permits.