Theorems · Theorem · number theory
CuspFormClass.zero_at_infty
∀ {k : ℤ} {F : Type u_1} {Γ : Subgroup (GL (Fin 2) ℝ)} [inst : FunLike F UpperHalfPlane ℂ] (f : F) [CuspFormClass F Γ k]
[Fact (IsCusp OnePoint.infty Γ)], UpperHalfPlane.IsZeroAtImInfty ⇑f- Defined in
- Mathlib.NumberTheory.ModularForms.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FunLikeCuspFormClassFact
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- Factstatement and proof · cited by 2,726
- FunLikestatement and proof · cited by 2,560
- UpperHalfPlanestatement and proof · cited by 626
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- Fact.outproof · cited by 328
- OnePoint.inftystatement and proof · cited by 102
- IsCuspstatement and proof · cited by 51
Cited by8
Results whose statement or proof uses this declaration.
- CuspForm.isStrongFEPairproof · cited by 2
- CuspFormClass.petersson_bounded_leftproof · cited by 2
- ModularForm.isCuspForm_iff_coeffZero_eq_zeroproof · cited by 2
- CuspForm.hasSum_Λproof · cited by 1
- CuspFormClass.cuspFunction_apply_zeroproof · cited by 1
- CuspFormClass.exp_decay_atImInftyproof · cited by 1
- CuspFormClass.exp_decay_atImInfty'proof · cited by 0
- CuspFormClass.zero_at_infty_comp_ofComplexproof · cited by 0