Thursday, August 13, 2020

Fatma Cicek (IIT, Gandhinagar), Aug 13, 3:55 PM - 5:00 PM (IST)

The next talk in the Special Functions and Number Theory Seminar is by Fatma Cicek.  Fatma has just joined IIT, Gandhinagar (virtually) as an Assistant Research Professor. We welcome her to India!

Speaker: Fatma Cicek

Title: On the Logarithm of the Riemann Zeta-function Near the Nontrivial Zeros

When: Thursday, August 13, 3:55 PM - 5:00 PM IST (GMT + 5:30)

Where: Zoom. Please write to to get a link a few hours ahead of time.  

Tea or Coffee: Please bring your own.


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. 

No comments:

Post a Comment