Theorems · Definition · number theory
CuspForm.translate
{k : ℤ} →
{Γ : Subgroup (GL (Fin 2) ℝ)} →
{F : Type u_1} →
[inst : FunLike F UpperHalfPlane ℂ] →
F → [CuspFormClass F Γ k] → (g : GL (Fin 2) ℝ) → CuspForm (ConjAct.toConjAct g⁻¹ • Γ) kTranslating a CuspForm by SL(2, ℤ), to obtain a new CuspForm.
- Defined in
- Mathlib.NumberTheory.ModularForms.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 297 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FunLikeCuspFormClass
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
- FunLikestatement and proof · cited by 2,560
- MulEquivstatement · cited by 1,142
- UpperHalfPlanestatement and proof · cited by 626
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- OnePointproof · cited by 126
- OnePoint.inftyproof · cited by 102
- ModularFormproof · cited by 98
Cited by3
Results whose statement or proof uses this declaration.
- CuspForm.isStrongFEPairproof · cited by 2
- CuspFormClass.petersson_bounded_leftproof · cited by 2
- CuspForm.coe_translatestatement · cited by 0