Sebastien Darses (Aix-Marseille)

Title: Some approximation problems and identities related to zeta.

Abstract: There are many equivalent forms of the Riemann hypothesis. One of them is the Nyman Beurling criterion, which is an  approximation problem in L2, involving the fractional part function and some dilation parameters. Randomizing these ones generates new criteria, structures and questions. The talk will be very accessible to graduate students. Joint works with F. Alouges,  E. Hillion and J. Najnudel.