Theorems · Definition · number theory
ModularForm.pow
{Γ : Subgroup (GL (Fin 2) ℝ)} → [Γ.HasDetPlusMinusOne] → {k : ℤ} → ModularForm Γ k → (n : ℕ) → ModularForm Γ (↑n * k)The n-th power of a modular form, as a modular form of weight n * k.
- Defined in
- Mathlib.NumberTheory.ModularForms.Basic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 189 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Subgroup.HasDetPlusMinusOne
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Matrixstatement · cited by 4,303
- Subgroupstatement and proof · cited by 3,593
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- ModularFormstatement and proof · cited by 98
- Subgroup.HasDetPlusMinusOnestatement and proof · cited by 57
- ModularForm.mcastproof · cited by 8
- ModularForm.mulproof · cited by 6
Cited by6
Results whose statement or proof uses this declaration.
- ModularForm.directSum_of_powstatement · cited by 1
- ModularForm.coe_powstatement and proof · cited by 1
- ModularForm.qExpansion_powstatement and proof · cited by 0
- ModularForm.gnpow_eq_powstatement and proof · cited by 0
- ModularForm.discriminant_eq_E₄_cube_sub_E₆_sq_gradedproof · cited by 0
- ModularForm.pow.congr_simpstatement and proof · cited by 0