Zeta Explained Course

Currently Playing: Zeta Explained #59: Gram Points and Gram's Law

This is the 59th video in a series explaining the Riemann zeta function. The idea of the series is to start with basics and eventually work our way to advanced topics. We follow the texts "Riemann's Zeta Function" by H.M. Edwards. This particular video goes over some visuals and math for Gram points, specifically looking at the Gram's Law violations at n=126 and n=237,516,724. 00:00 - Refresher animations and math. 08:43 - Gram points at n=10. 09:38 - Gram's law violation at n=126 13:11 - Gram's law violation at n=237,516,724 16:27 - Math on Gram points 24:00 - S(t) at n=10 25:20 - S(t) at n=126 26:40 - S(t) at n=237,516,724 29:08 - Theoretical unboundedness of S(t)