Theorems · Theorem · number theory
SlashInvariantFormClass.eq_cuspFunction
∀ {k : ℤ} {F : Type u_1} [inst : FunLike F UpperHalfPlane ℂ] {Γ : Subgroup (GL (Fin 2) ℝ)} {h : ℝ} (f : F)
[SlashInvariantFormClass F Γ k] (τ : UpperHalfPlane),
h ∈ Γ.strictPeriods → h ≠ 0 → UpperHalfPlane.cuspFunction h (⇑f) (Function.Periodic.qParam h ↑τ) = f τ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound
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
- AddSubgroupstatement · cited by 3,232
- FunLikestatement and proof · cited by 2,560
- UpperHalfPlanestatement and proof · cited by 626
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- UpperHalfPlane.coestatement · cited by 288
- Subgroup.strictPeriodsstatement and proof · cited by 63
- UpperHalfPlane.cuspFunctionstatement · cited by 46
Cited by1
Results whose statement or proof uses this declaration.
- ModularForm.isZeroAtImInfty_of_valueAtInfty_eq_zeroproof · cited by 1