Theorems · Theorem · number theory
ModularForm.eq_zero_of_neg_one_mem
∀ {Γ : Subgroup (GL (Fin 2) ℝ)} {k : ℤ} [Γ.HasDetOne], -1 ∈ Γ → Odd k → ∀ (f : ModularForm Γ k), f = 0If -1 ∈ Γ and k is odd, then every modular form of weight k for Γ is zero.
- Defined in
- Mathlib.NumberTheory.ModularForms.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 187 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Subgroup.HasDetOne
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Complexproof · cited by 5,565
- Matrixstatement · cited by 4,303
- Subgroupstatement and proof · cited by 3,593
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- one_smulproof · cited by 1,374
- UpperHalfPlaneproof · cited by 626
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- Oddstatement and proof · cited by 364
- UpperHalfPlane.coeproof · cited by 288
Cited by1
Results whose statement or proof uses this declaration.
- ModularForm.levelOne_odd_weight_eq_zeroproof · cited by 1