Modular forms: Fourier coefficients of Eisenstein series @richarde.borcherds7998
Modular forms: Fourier coefficients of 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 calculate the Fourier coefficients of the Eisenstein series introduced in the previous lecture, and use them to construct the elliptic modular function.

(Minor typo: in the definition of E10 I wrote 262 instead of 264.)

For the other lectures in the course see youtube.com/playlist?list=PL8yHsr3EFj51HisRtNyzHX-Xyg6I3Wl2F
Modular 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 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 theory
Richard E Borcherds |

Modular forms: Fourier coefficients of Eisenstein series

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