I 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.
Links:
[1] https://www.mpim-bonn.mpg.de/de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/de/node/3444
[3] https://www.mpim-bonn.mpg.de/de/pretzl