Zeta Explained Course

Currently Playing: Zeta Explained #06: The Logarithmic Derivative and the Von Mangoldt Function

This is the sixth 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 the logarithmic derivative of the zeta function, as well as the appearance of the von Mangoldt function from number theory. 00:00 - Intro 01:11 - Start of proof 06:31 - Re-indexing 08:42 - Easier re-indexing examples 11:04 - Back to the zeta function