A math course explaining the Riemann zeta function
Curated by: Zeta Explained (121 videos)
This is the second 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 covers an analysis of the convergence of the series definition for zeta(s) when Re(s) is greater than 1. 00:00 - Intro 00:29 - Using the Integral Test 04:14 - Extending "s" to complex numbers 08:14 - Visualization of ζ(s) for a complex number 11:49 - Finding the maximal point of |ζ(s)| in a region