A math course explaining the Riemann zeta function
Curated by: Zeta Explained (121 videos)
This is the 24th 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. The viewer is expected to understand calculus and complex numbers, whereas I will try to explain concepts from complex analysis as needed. We will follow the book "The Riemann Zeta Function: Theory and Applications" by Aleksandar Ivić. This particular video introduces a very simple "approximate functional equation" for the Riemann zeta function. 00:00 - Intro 01:23 - Theorem 04:04 - Start of proof 05:23 - The sum n greater than N 13:53 - The sum n between x and N 23:12 - Discussion of the classical Hardy-Littlewood approximate functional equation