A math course explaining the Riemann zeta function
Curated by: Zeta Explained (121 videos)
This is the 89th 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 text "The Riemann Zeta-Function" by Aleksandar Ivić. This particular video goes over two lemmas by Abel which will be useful for later videos analyzing the growth rate of the zeta function. 00:00 - Intro and background 08:42 - Lemma 1: Abel's summation formula (also called "summation by parts") 13:53 - Lemma 2: Abel's inequality (also called "partial summation") 21:44 - Graphs of the zeta sum