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

We extend Hecke operators from modular functions to modular forms. As an application we prove some of Ramanujan's conjectures for the Ramanujan tau function.

For the other lectures in the course see youtube.com/playlist?list=PL8yHsr3EFj51HisRtNyzHX-Xyg6I3Wl2F
Modular forms: Hecke operators for formsLie groups: Engels theoremComplex analysis: Holomorphic functionsCategories 4 Adjoint functorsIntroduction to number theory lecture 33. Quadratic reciprocityIntroduction to number theory lecture 46. Products of Dirichlet seriesIntroduction to number theory lecture 30. Fields in number theoryBorwein integralsIntroduction to number theory lecture 2: Survey.Introduction to number theory lecture 15. Numerical calculationIntroduction to number theory lecture 19. Hensel and Newtons methodGalois theory: Infinite Galois extensions
Richard E Borcherds |

Modular forms: Hecke operators for forms

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