# Logging of the zeta-function, but only for a few moments!

Speaker: Tim Trudgian

Date: Tue, Jul 26, 2022

Conference: Moments of L-functions Workshop

Subject:

Class: Scientific

### Abstract:

When we're between friends, we often throw in an $\epsilon$ here or there, and why not? Whether something grows like $(\log T)^{100}$ or just $T^{\epsilon}$ doesn?t often make much difference. I shall outline some current work, with Aleks Simoni\v{c}, on the error term in the fourth-moment of the Riemann zeta-function. We know that the $T^{\epsilon}$ in this problem can be replaced by a power of $\log T$ ? but which power? Tune in to find out.