Modular forms: Discriminant and E2 @richarde.borcherds7998
Modular forms: Discriminant and E2  @richarde.borcherds7998
Uploaded March 2021 | Updated September 2026, 2 weeks ago
This lecture is part of an online graduate course on modular forms.

We discuss the infinite product of the discriminant function and relate it to the fact that the Eisenstein series E2 is not quite a modular form. We then sketch Siegel's proof of the infinite product for the discriminant.

For the other lectures in the course see youtube.com/playlist?list=PL8yHsr3EFj51HisRtNyzHX-Xyg6I3Wl2F
Modular forms: Discriminant and E2Algebraic topology: Fundamental groupLie groups: Modular functionRIngs 22 Hensels lemmaLie groups: Haar measureZermelo Fraenkel PowersetTheory of numbers: Quadratic residuesIs the Conway knot slice? (After Lisa Piccirillo)Lie groups: Bianchi classificationCategories 3 Natural transformationsGalois theory: Separable extensionsTheory of numbers: Congruences: Introduction
Richard E Borcherds |

Modular forms: Discriminant and E2

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