Wednesday, August 28, 2024 - 09:00 in Zoom
Random matrix insights into discrete moments of the Riemann zeta function
A talk in the Seminar Zufallsmatrizen series by
Christopher Hughes
| Abstract: |
Shanks conjectured that the mean of the derivative of the Riemann zeta function evaluated at the zeros of zeta is real and positive. This was proven in the 1980s by Conrey and Ghosh by finding an asymptotic for the first discrete moment (which was real and positive). We will talk about various extensions of this to higher derivatives and higher moments, where random matrix insights have proven very useful. This work is joint with Andrew Pearce-Crump. The talk will be at a very relaxed level, and assumes no knowledge of number theory.
Within the CRC this talk is associated to the project(s): C6 |
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