Seminar series
Date
Tue, 04 Jun 2024
16:00
16:00
Location
L6
Speaker
Ofir Gorodetsky
Organisation
University of Oxford
Conrey and Gamburd expressed the so-called pseudomoments of the Riemann zeta function in terms of counts of certain magic squares.
In work-in-progress with Brad Rodgers we take a magic-square perspective on the moments of zeta themselves (instead of pseudomoments), and the related moments of the Dirichlet polynomial sum_{n<N} n^{-1/2 -it}.
Assuming the shifted moment conjecture we are able to express these moments in terms of certain multiplicative magic squares.
We'll review the works of Conrey and Gamburd, and other related results, and give some of the ideas behind the proofs.