Theorems · Definition · number theory
ModularForm.L
{Γ : Subgroup (GL (Fin 2) ℝ)} →
[Γ.IsArithmetic] →
{k : ℤ} → 0 < k → {F : Type u_1} → [inst : FunLike F UpperHalfPlane ℂ] → F → [ModularFormClass F Γ k] → ℂ → ℂThe L-series of a modular form (without its Archimedean Γ-factor).
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 299 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Complexstatement and proof · cited by 5,565
- Matrixstatement · cited by 4,303
- Subgroupstatement and proof · cited by 3,593
- FunLikestatement and proof · cited by 2,560
- UpperHalfPlanestatement and proof · cited by 626
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- ModularFormClassstatement and proof · cited by 64
- Subgroup.IsArithmeticstatement and proof · cited by 41
- Complex.Gammaℂproof · cited by 18
- ModularForm.Λproof · cited by 6
Cited by4
Results whose statement or proof uses this declaration.
- CuspForm.differentiable_Lstatement · cited by 0
- ModularForm.hasSum_Lstatement · cited by 0
- ModularForm.L.congr_simpstatement and proof · cited by 0
- CuspForm.hasSum_Lstatement · cited by 0