A math course explaining the Riemann zeta function
Curated by: Zeta Explained (121 videos)
This is the 70th 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. Today, we follow the text "Introductory Complex Analysis" by Richard A. Silverman. This particular video proves various identities of the Gamma function, starting with the Weierstrass product formula. 00:00 - Intro 01:04 - Outline 02:39 - Euler Reflection Formula 08:52 - (1/2)! and Gamma at Half Integers 12:49 - Derivative of Gamma at 1 18:13 - Legendre Duplication Formula 27:40 - Taylor Series for log Γ(1+z) 32:00 - Outro