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Harmonic Analysis and Automorphic Form Seminar - Brad Rodgers

Ohio State Garden of Constants
October 14, 2024
4:00 pm - 5:00 pm
Math Tower (MW) 154

Brad Rodgers
Queen's University

Title
Moments, pseudomoments, and multiplicative magic squares

Abstract
Moments of the Riemann zeta-function on the critical line have been studied for a long time but still very little is rigorously known. In this talk I will review some of this history and discuss the related but simpler problem of pseudomoments, dealing with moments of partial sums of the zeta-function. I hope to discuss how a simple lattice point counting method can be used to shed new light on a result of Conrey and Gamburd on pseudomoments, as well as a proxy arithmetic problem which can be shown to exhibit some of the random matrix behavior conjectured about moments of the zeta-function. This is joint work with Ofir Gorodetsky.

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Seminar - Harmonic Analysis and Automorphic Form