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Nicholas Simm: Derivative moments of CUE characteristic polynomials and the Riemann zeta function

Time: Thu 2024-10-03 11.00 - 12.00

Location: Zoom

Video link: Meeting ID: 921 756 1880

Participating: Nicholas Simm, University of Sussex

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Abstract:

I will discuss recent work with Fei Wei about the derivative of the characteristic polynomial of a matrix drawn at random from the Circular Unitary Ensemble (CUE). The main focus is on values of the spectral parameter z inside the unit disc. I will present results on the moments of such derivatives and on the asymptotic distribution of zeros. I will also discuss some corresponding results for the derivative of the Riemann zeta function.