Wednesday, December 24, 2025. 

Time: 16:10-17:00

venue: Mathematics Building Room 527

Speaker: Prof. Po-Han Hsu (Department of Applied Mathematics, National Sun Yat-sen University )

Abstract:

The Selberg central limit theorem asserts the asymptotic normality of the logarithm of the Riemann zeta function along the critical line. It was originally shown by Selberg in 1946, and, according to Selberg himself, such a theorem holds for the functions in Selberg class. In 2017, Radziwill and Soundararajan gave this theorem a new and elegant proof.

In this talk, we will first introduce the Selberg's central limit theorem and the Radziwill-Soundararajan method. Then we will talk about its multidimensional variant. Lastly, if time permits, we will address some studies regarding its rate of convergence.