Theorems · Definition · number theory
ModularForm.cuspFormSubmodule
(Γ : Subgroup (GL (Fin 2) ℝ)) → (k : ℤ) → [inst : Γ.HasDetOne] → Submodule ℂ (ModularForm Γ k)
The submodule of ModularForm Γ k consisting of cusp forms, defined as the range of
the inclusion CuspForm.toModularFormₗ.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Subgroup.HasDetOne
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Submodulestatement · cited by 7,192
- Complexstatement · cited by 5,565
- Matrixstatement · cited by 4,303
- Subgroupstatement and proof · cited by 3,593
- LinearMap.rangeproof · cited by 893
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- ModularFormstatement · cited by 98
- Subgroup.HasDetOnestatement and proof · cited by 18
- CuspForm.toModularFormₗproof · cited by 7
Cited by4
Results whose statement or proof uses this declaration.
- ModularForm.IsCuspFormproof · cited by 6
- ModularForm.rank_eq_one_add_rank_cuspFormproof · cited by 3
- ModularForm.CuspForm.equivCuspFormSubmodulestatement · cited by 1
- ModularForm.mem_cuspFormSubmodule_iffstatement · cited by 1