Theorems · Definition · number theory
ModularForm.mul
{Γ : Subgroup (GL (Fin 2) ℝ)} →
{k_1 k_2 : ℤ} → [Γ.HasDetPlusMinusOne] → ModularForm Γ k_1 → ModularForm Γ k_2 → ModularForm Γ (k_1 + k_2)The modular form of weight k_1 + k_2 given by the product of two modular forms of weights
k_1 and k_2.
- Defined in
- Mathlib.NumberTheory.ModularForms.Basic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 188 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.
Cites12
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
- OnePointproof · cited by 126
- OnePoint.inftyproof · cited by 102
- ModularFormstatement and proof · cited by 98
- Subgroup.HasDetPlusMinusOnestatement and proof · cited by 57
- IsCuspproof · cited by 51
- SlashInvariantFormproof · cited by 46
- ModularForm.toSlashInvariantFormproof · cited by 8
- SlashInvariantForm.mulproof · cited by 2
Cited by7
Results whose statement or proof uses this declaration.
- ModularForm.powproof · cited by 6
- ModularForm.qExpansion_mulstatement · cited by 4
- ModularForm.coe_mulstatement and proof · cited by 3
- ModularForm.coe_powproof · cited by 1
- ModularForm.cuspFunction_mulstatement · cited by 0
- ModularForm.mul_ne_zerostatement and proof · cited by 0
- ModularForm.mul.congr_simpstatement and proof · cited by 0