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S茅bastien Darses (Universit茅 Aix-Marseille)

Friday, March 15, 2024 14:30to15:30

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 芦 period 禄 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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Meeting ID: 831 8045 3914

Passcode: 719821

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