Complex analysis: Classification of elliptic functions @richarde.borcherds7998
Complex analysis: Classification of elliptic functions  @richarde.borcherds7998
Uploaded March 2021 | Updated September 2026, 1 week ago
This lecture is part of an online undergraduate course on complex analysis.

We give 3 description of elliptic functions: as rational functions of P and its derivative, or in terms of their zeros and poles, or in terms of their singularities.

We end by giving a brief description of the analogy between elliptic and trig functions.

For the other lectures in the course see youtube.com/playlist?list=PL8yHsr3EFj537_iYA5QrvwhvMlpkJ1yGN
Complex analysis: Classification of elliptic functionsComplex analysis: Gamma functionRIngs 14 Limits and exactnessModular forms: Modular functionsIntroduction to number theory lecture 42. Examples of indefinite binary quadratic forms.Vinberg lecture part 2. The reflection group of II25,1Rings 12 Duality and injective modulesModular forms: Petersson inner productLie groups: Exponential mapTheory of numbers: Multiplicative functionsSelberg trace formulaCategories 5 Limits and colimits
Richard E Borcherds |

Complex analysis: Classification of elliptic functions

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