Theorems · Theorem · number theory
ModularFormClass.bdd_at_infty
∀ {k : ℤ} {F : Type u_1} {Γ : Subgroup (GL (Fin 2) ℝ)} [inst : FunLike F UpperHalfPlane ℂ] (f : F)
[ModularFormClass F Γ k] [Fact (IsCusp OnePoint.infty Γ)], UpperHalfPlane.IsBoundedAtImInfty ⇑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
- FunLikeModularFormClassFact
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
- ModularFormClassstatement and proof · cited by 64
Cited by8
Results whose statement or proof uses this declaration.
- ModularFormClass.analyticAt_cuspFunction_zeroproof · cited by 14
- UpperHalfPlane.IsZeroAtImInfty.petersson_exp_decay_leftproof · cited by 2
- ModularFormClass.exp_decay_sub_atImInfty'proof · cited by 1
- ModularForm.qExpansion_eq_zero_iffproof · cited by 1
- ModularFormClass.qExpansion_coeff_eq_intervalIntegralproof · cited by 1
- CuspFormClass.exp_decay_atImInftyproof · cited by 1
- ModularForm.hasSum_qExpansionproof · cited by 0
- ModularFormClass.differentiableAt_cuspFunctionproof · cited by 0