Jonathan Keating: Joint Moments (September 11, 2025)

Jonathan Keating will discuss the evaluation of the joint moments of the characteristic polynomials of random unitary matrices and their derivatives, and in this context the joint moments of the Riemann zeta-function and its derivates, on the critical line. I also hope to discuss extensions to other symmetry classes. Uploaded 25-09-25 For more information go here: https://www.simonsfoundation.org/event/mps-conference-on-universal-statistics-in-number-theory/