Theorems · Theorem · number theory
CuspForm.exists_smul_discriminant_of_weight_eq_twelve
∀ (f : CuspForm (Matrix.SpecialLinearGroup.mapGL ℝ).range 12), ∃ c, c • CuspForm.discriminant = f
Every weight 12 cusp form for 𝒮ℒ is a scalar multiple of the discriminant.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 332 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Complexstatement · cited by 5,565
- Matrixstatement · cited by 4,303
- Matrix.GeneralLinearGroupstatement · cited by 556
- Matrix.SpecialLinearGroupstatement · cited by 348
- MonoidHom.rangestatement and proof · cited by 314
- Matrix.SpecialLinearGroup.mapGLstatement and proof · cited by 98
- CuspFormstatement and proof · cited by 36
- DFunLike.ne_iffproof · cited by 18
- UpperHalfPlane.Iproof · cited by 16
- finrank_eq_one_iff_of_nonzero'proof · cited by 11
- Module.rank_eq_one_iff_finrank_eq_oneproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- ModularForm.discriminant_eq_E₄_cube_sub_E₆_sqproof · cited by 0