#### IMSc Webinar

#### On the Logarithm of the Riemann Zeta-function Near the Nontrivial Zeros

#### Fatma Cicek

##### IIT Gandhinagar

*Selberg's central limit theorem is one of the most significant probabilistic results in analytic number theory. *

Roughly, it states that the logarithm of the Riemann zeta-function on and near the critical line has an approximate two-dimensional Gaussian distribution.

In this talk, we will talk about our recent result which states that the distribution of the logarithm of the Riemann zeta-function near the sequence of the nontrivial zeros has a similar central limit theorem. Our results are conditional on the Riemann Hypothesis and/or suitable zero-spacing hypotheses. They also have suitable generalizations to Dirichlet $L$-functions.

Google meet link is

meet.google.com/bfo-ztht-vvd

Done