Theorems · Theorem · number theory
CuspFormClass.zero_at_cusps
∀ {F : Type u_2} {Γ : outParam (Subgroup (GL (Fin 2) ℝ))} {k : outParam ℤ} {inst : FunLike F UpperHalfPlane ℂ}
[self : CuspFormClass F Γ k] (f : F) {c : OnePoint ℝ}, IsCusp c Γ → c.IsZeroAt (⇑f) k- Defined in
- Mathlib.NumberTheory.ModularForms.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CuspFormClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Matrixstatement · cited by 4,303
- Subgroupstatement and proof · cited by 3,593
- FunLikestatement and proof · cited by 2,560
- UpperHalfPlanestatement and proof · cited by 626
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- OnePointstatement · cited by 126
- IsCuspstatement · cited by 51
- CuspFormClassstatement and proof · cited by 21
- OnePoint.IsZeroAtstatement · cited by 14
Cited by2
Results whose statement or proof uses this declaration.
- CuspFormClass.zero_at_inftyproof · cited by 8
- CuspFormClass.zero_at_infty_slashproof · cited by 0