Theorems · Definition · number theory
CuspForm.trace
{𝒢 : Subgroup (GL (Fin 2) ℝ)} →
(ℋ : Subgroup (GL (Fin 2) ℝ)) →
{F : Type u_1} →
F → [inst : FunLike F UpperHalfPlane ℂ] → {k : ℤ} → [𝒢.IsFiniteRelIndex ℋ] → [CuspFormClass F 𝒢 k] → CuspForm ℋ kThe trace of a cusp form, as a cusp form.
- Cited by
- 1 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.
Cites16
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
- OnePointproof · cited by 126
- ModularFormproof · cited by 98
- IsCuspproof · cited by 51
- CuspFormstatement · cited by 36
- Subgroup.IsFiniteRelIndexstatement and proof · cited by 26
Cited by1
Results whose statement or proof uses this declaration.
- CuspForm.coe_tracestatement and proof · cited by 0