Sébastien Darses (Université Aix-Marseille)

Title: On generalizations of the Nyman-Beurling criterion for RH

Abstract: The Nyman-Beurling criterion for the Riemann hypothesis is an approximation problem in L² involving the fractional part function and some parameters. Randomizing these parameters generates new criteria and new structures. Those ones are related to a variety of topics: the density of polynomials in weighted L² spaces, the moment problem (in Analysis and Number Theory), Fourier Analysis and the analytic continuation of a « period » function. We will review some results and new questions. Joint works with F. Alouges, E. Hillion, and J. Najnudel.

Concordia, McConnell Building, LB 921-4 and by Zoom (see link below)

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https://us06web.zoom.us/j/83180453914?pwd=RQnoWH7aQqXAxldXZsqdafFCmh7dBC.1

Meeting ID: 831 8045 3914

Passcode: 719821