Date/heure
18 novembre 2021
10:45 - 11:45
Lieu
Salle Döblin
Oratrice ou orateur
Sébastien Darses (Aix-Marseille Université)
Catégorie d'évènement Séminaire Probabilités et Statistique
Résumé
One of the seemingly innocent reformulations of the terrifying Riemann Hypothesis (RH) is the Nyman-Beurling criterion: The indicator function of (0,1) can be linearly approximated in a L^2 space by dilations of the fractional part function. Randomizing these dilations generates new structures and criteria for RH, regularizing very intricate ones. One other possible nice feature is to consider polynomials instead of Dirichlet polynomials for the approximations. How then are the huge difficulties reallocated? The answers are quite surprising!
The talk will be very accessible, especially for graduate students.
Joint work with F. Alouges and E. Hillion.