The criteria of Nyman and Baez-Duarte for the Riemann hypothesis

Abstract: In his doctoral dissertation, Nyman gave in 1950 a necessary and sufficient criterion for the validity of the Riemann hypothesis, in terms of the density of some subspace in L^2(0,1). In 2003, Baez-Duarte gave a modified form of this criterion. The talk will present these two criteria, as well as related results and questions.

analysis of PDEsclassical analysis and ODEscomplex variablesdifferential geometrydynamical systemsfunctional analysismetric geometry

Audience: researchers in the topic

Analysis and Geometry Seminar