Complex analysis: Zeta function functional equation @richarde.borcherds7998
Complex analysis: Zeta function functional equation  @richarde.borcherds7998
Uploaded March 2021 | Updated September 2026, 2 weeks ago
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 youtube.com/playlist?list=PL8yHsr3EFj537_iYA5QrvwhvMlpkJ1yGN
Complex analysis: Zeta function functional equationIntroduction to number theory lecture 49. Dirichlets theoremGalois theory: Main theoremTheory of numbers: Congruences: Chinese remainder theoremModular forms: IntroductionModular forms: Fourier coefficients of Eisenstein seriesIntroduction to number theory lecture 10. Fermats theoremRings and modules 4  Unique factorizationGalois theory: Galois extensionsWilsons theoremModular forms: Hecke operators for formsLie groups: Engels theorem
Richard E Borcherds |

Complex analysis: Zeta function functional equation

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