Sebastien Darses (Aix-Marseille University / IRC-CRM Montreal)

Math & Stats Number Theory Seminar
Friday, March 28th, 2025

Time: 9:30 a.m.  Place: Jeffery Hall, Room 202

Speaker: Sebastien Darses (Aix-Marseille University / IRC-CRM Montreal)

Title: Approximation problems and identities related to the zeta function

Abstract: One of the seemingly innocent reformulations of the Riemann hypothesis is the Nyman-Beurling criterion: an approximation problem in L2 concerning dilations of the fractional part function, which has a nice geometric interpretation. Randomizing these dilations generates new criteria and structures. These ones are related to a variety of objects and problems: e.g. period functions associated to some Eisenstein series, power moment problems in measure theory, higher moments of zeta. The talk could drift depending on the audience's interests.