Modular forms: Eisenstein series @richarde.borcherds7998

Uploaded March 2021 | Updated September 2026, 2 weeks ago

This lecture is part of an online graduate course on modular forms.

We give two ways of looking at modular forms: as functions of lattices in C, or as invariant forms. We use this to give two different ways of constructing Eisenstein series.

For the other lectures in the course see youtube.com/playlist?list=PL8yHsr3EFj51HisRtNyzHX-Xyg6I3Wl2F

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Introduction to number theory lecture 34. Gauss sums

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Introduction to number theory lecture 27. Groups and number theory

Elliptic functions lecture 4. The sigma function