Theorems · Definition · number theory
ModularForm.IsCuspForm
{Γ : Subgroup (GL (Fin 2) ℝ)} → {k : ℤ} → [Γ.HasDetOne] → ModularForm Γ k → PropA modular form is a cusp form if it lies in the cusp form submodule.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 205 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.
Cites7
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
- Matrixstatement · cited by 4,303
- Subgroupstatement and proof · cited by 3,593
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- ModularFormstatement and proof · cited by 98
- Subgroup.HasDetOnestatement and proof · cited by 18
- ModularForm.cuspFormSubmoduleproof · cited by 2
Cited by6
Results whose statement or proof uses this declaration.
- ModularForm.isCuspForm_iff_coeffZero_eq_zerostatement and proof · cited by 2
- ModularForm.mem_cuspFormSubmodule_iffstatement · cited by 1
- ModularForm.isCuspForm_iffstatement and proof · cited by 1
- ModularForm.CuspForm.isCuspForm_toModularFormₗstatement · cited by 0
- ModularForm.IsCuspForm.congr_simpstatement and proof · cited by 0
- ModularForm.sub_smul_isCuspFormstatement · cited by 0