Selberg’s Central Limit Theorem

Abstract: ‎Selberg's central limit theorem is an influential probabilistic result in analytic number theory which roughly states that the logarithm of the Riemann zeta-function $\zeta(s)$ on the half-line‎, ‎that is $\Re s = \frac12$‎, ‎has an approximate two-dimensional Gaussian distribution as $\Im s \to \infty$‎. ‎We will carefully review the important ideas in the proof of Selberg's theorem and then will mention some variants of it‎. ‎Towards the end of the talk‎, ‎we will also see some of its applications‎.

algebraic geometrynumber theory

Audience: researchers in the topic

Comments: Meeting ID: 922 2650 4686 ; Passcode: 645549

FGC-HRI-IPM Number Theory Webinars

Series comments: password is 848084