Theorems · Theorem · number theory
ModularForm.qExpansion_eq_zero_iff
∀ {Γ : Subgroup (GL (Fin 2) ℝ)} {h : ℝ},
0 < h → h ∈ Γ.strictPeriods → ∀ {k : ℤ} (f : ModularForm Γ k), UpperHalfPlane.qExpansion h ⇑f = 0 ↔ f = 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 294 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
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 · 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
- PowerSeriesstatement · cited by 797
- UpperHalfPlanestatement · cited by 626
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- OnePoint.inftyproof · cited by 102
- ModularFormstatement and proof · cited by 98
Cited by1
Results whose statement or proof uses this declaration.
- ModularForm.mul_ne_zeroproof · cited by 0