A math course explaining the Riemann zeta function
Curated by: Zeta Explained (121 videos)
This is the 39th 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 follow the book "Riemann's Zeta Function" by H.M. Edwards. This particular video covers Riemann's original analytic continuation of the zeta function to the entire complex plane minus the pole at s=1. 00:00 - Intro 00:44 - The Gamma function and the integral equation 04:10 - A contour integral 17:22 - Combining the two equations 20:56 - Philosophical differences between Riemann's approach and modern approaches