Theorems · Theorem · number theory
CuspFormClass.cuspFunction_apply_zero
∀ {k : ℤ} {F : Type u_1} [inst : FunLike F UpperHalfPlane ℂ] {Γ : Subgroup (GL (Fin 2) ℝ)} {h : ℝ} (f : F)
[CuspFormClass F Γ k], 0 < h → h ∈ Γ.strictPeriods → UpperHalfPlane.cuspFunction h (⇑f) 0 = 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 194 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FunLikeCuspFormClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- AddSubgroupstatement · cited by 3,232
- Factproof · cited by 2,726
- FunLikestatement and proof · cited by 2,560
- UpperHalfPlanestatement and proof · cited by 626
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- OnePoint.inftyproof · cited by 102
- Subgroup.strictPeriodsstatement and proof · cited by 63
Cited by1
Results whose statement or proof uses this declaration.
- CuspFormClass.qExpansion_coeff_zeroproof · cited by 1