Theorems · Theorem · number theory
ModularForm.coe_norm
∀ {𝒢 : Subgroup (GL (Fin 2) ℝ)} (ℋ : Subgroup (GL (Fin 2) ℝ)) {F : Type u_1} (f : F) [inst : FunLike F UpperHalfPlane ℂ]
{k : ℤ} [inst_1 : 𝒢.IsFiniteRelIndex ℋ] [inst_2 : ℋ.HasDetPlusMinusOne] [inst_3 : ModularFormClass F 𝒢 k],
⇑(ModularForm.norm ℋ f) = ∏ q, SlashInvariantForm.quotientFunc f q- Cited by
- 2 results in Mathlib
- Foundations
- Depth 297 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 and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Matrixstatement · cited by 4,303
- Subgroupstatement and proof · cited by 3,593
- Finset.univstatement · cited by 3,473
- FunLikestatement and proof · cited by 2,560
- Finset.prodstatement · cited by 2,356
- HasQuotient.Quotientstatement · cited by 2,301
- Nat.cardstatement · cited by 844
- UpperHalfPlanestatement and proof · cited by 626
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
Cited by2
Results whose statement or proof uses this declaration.
- ModularForm.norm_ne_zeroproof · cited by 1
- ModularForm.norm_eq_zero_iffproof · cited by 0