Theorems · Definition · number theory
CuspForm.discriminantEquiv
{k : ℤ} →
CuspForm (Matrix.SpecialLinearGroup.mapGL ℝ).range k ≃ₗ[ℂ]
ModularForm (Matrix.SpecialLinearGroup.mapGL ℝ).range (k - 12)The linear equivalence between cusp forms of weight k and modular forms of weight k - 12,
given by division by the discriminant.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 330 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- RingHom.idstatement · cited by 18,349
- Complexstatement and proof · cited by 5,565
- Matrixstatement · cited by 4,303
- LinearEquivstatement · cited by 3,317
- UpperHalfPlaneproof · cited by 626
- Matrix.GeneralLinearGroupstatement · cited by 556
- Matrix.SpecialLinearGroupstatement · cited by 348
- MonoidHom.rangestatement and proof · cited by 314
- OnePointproof · cited by 126
- Matrix.SpecialLinearGroup.mapGLstatement and proof · cited by 98
Cited by9
Results whose statement or proof uses this declaration.
- CuspForm.rank_eq_zero_of_weight_lt_twelveproof · cited by 2
- ModularForm.qExpansion_eq_qExpansion_discriminant_mulstatement and proof · cited by 1
- CuspForm.discriminantEquiv_applystatement · cited by 1
- CuspForm.divDiscriminantproof · cited by 1
- CuspForm.rank_eq_one_of_weight_eq_twelveproof · cited by 1
- ModularForm.sturm_bound_levelOne_natproof · cited by 1
- ModularForm.discriminant_mul_discriminantEquivstatement · cited by 1
- ModularForm.dimension_level_oneproof · cited by 0
- ModularForm.discriminant_mul_discriminantEquiv_applystatement · cited by 0