After reviewing some recent development and achievements related to Diophantine problems of the values of Riemann’s zeta function and generalized polylogarithms (not all coming from myself!), I will move the focus to π=3.1415926… and its rational approximations. Specifically, I will discuss a construction of rational approximations to the number that leads to the record irrationality measure of π.
The talk is based on joint work with Doron Zeilberger.
This video is part of the Number Theory Web Seminar series.
