Theorems · Definition · number theory

SlashInvariantForm.mul

{Γ : Subgroup (GL (Fin 2) ℝ)} →
  [Γ.HasDetPlusMinusOne] →
    {k₁ k₂ : ℤ} → SlashInvariantForm Γ k₁ → SlashInvariantForm Γ k₂ → SlashInvariantForm Γ (k₁ + k₂)

The slash invariant form of weight k₁ + k₂ given by the product of two slash-invariant forms of weights k₁ and k₂.

Defined in: Mathlib.NumberTheory.ModularForms.SlashInvariantForms
Cited by: 2 results in Mathlib
Foundations: Depth 183 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Subgroup.HasDetPlusMinusOne

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Cites7

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
Matrixstatement · cited by 4,303
Subgroupstatement and proof · cited by 3,593
Matrix.GeneralLinearGroupstatement and proof · cited by 556
Subgroup.HasDetPlusMinusOnestatement and proof · cited by 57
SlashInvariantFormstatement and proof · cited by 46

Cited by4

Results whose statement or proof uses this declaration.

ModularForm.mulproof · cited by 6
CuspForm.mulModularFormproof · cited by 1
SlashInvariantForm.mul.congr_simpstatement and proof · cited by 0
SlashInvariantForm.coe_mulstatement · cited by 0