A math course explaining the Riemann zeta function
Curated by: Zeta Explained (121 videos)
This is the 23rd 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 the theory of exponential sums. 00:00 - Intro 03:55 - Elementary visualizations 06:30 - More complex visualizations 13:29 - Relation to the Riemann zeta function 14:44 - Theorem statement 18:06 - Start of proof