Unlocking the Riemann Zeta Function: Functional Equation Explained π
Discover how residue calculus helps prove the functional equation of the Riemann zeta function in this insightful lecture from our complex analysis course. Perfect for undergraduates!

Richard E Borcherds
15.1K views β’ Mar 13, 2021

About this video
This lecture is part of an online undergraduate course on complex analysis.
We use the residue calculus to prove the functional equation of the Riemann zeta function (following Riemann's first proof).
(Warning: I got really confused trying to sort out the signs in this video, so do not rely on them.)
Solution to exercise (in rot13): cv bire fva cv f
For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj537_iYA5QrvwhvMlpkJ1yGN
We use the residue calculus to prove the functional equation of the Riemann zeta function (following Riemann's first proof).
(Warning: I got really confused trying to sort out the signs in this video, so do not rely on them.)
Solution to exercise (in rot13): cv bire fva cv f
For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj537_iYA5QrvwhvMlpkJ1yGN
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Video Information
Views
15.1K
Likes
380
Duration
14:17
Published
Mar 13, 2021
User Reviews
4.6
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