A math course explaining the Riemann zeta function
Curated by: Zeta Explained (121 videos)
This is the 61st 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. We follow the book "The Riemann Zeta-Function: Theory and Applications" by Aleksandar Ivić. This particular video covers the Hardy–Littlewood Approximate Functional Equation, which allows computation of zeta using only sqrt(t) terms. 00:00 - Intro 06:58 - Proof Sketch 11:46 - Part 1: An integral formula for ζ(s) 15:58 - Part 2: A contour integral 22:40 - Part 3: A special contour integral 32:17 - Combining Part 2 and Part 3