Modular forms: Petersson inner product @richarde.borcherds7998
Modular forms: Petersson inner product @richarde.borcherds7998
Uploaded April 2021 | Updated September 2026, 1 week ago
This lecture is part of an online graduate course on modular forms.

We define the Petersson inner product on modular forms and use it to show that the eigenforms of the Hecke algebra span the space of modular forms.

For the other lectures in the course see youtube.com/playlist?list=PL8yHsr3EFj51HisRtNyzHX-Xyg6I3Wl2F
Modular forms: Petersson inner productLie groups: Exponential mapTheory of numbers: Multiplicative functionsSelberg trace formulaCategories 5 Limits and colimitsLie groups: Lie algebrasLie groups: Poincare-Birkhoff-Witt theoremGalois theory: Hilberts theorem 90Modular forms: Fundamental domainHow to construct the Leech latticeIntroduction to number theory lecture 41: More examples of binary quadratic formsRIngs 15 Polynomials
Richard E Borcherds |

Modular forms: Petersson inner product

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