Theorems · Theorem · number theory
CuspForm.coe_translate
∀ {k : ℤ} {Γ : Subgroup (GL (Fin 2) ℝ)} {F : Type u_1} [inst : FunLike F UpperHalfPlane ℂ] (f : F)
[inst_1 : CuspFormClass F Γ k] (g : Matrix.SpecialLinearGroup (Fin 2) ℤ),
⇑(CuspForm.translate f (Matrix.SpecialLinearGroup.toGL ((Matrix.SpecialLinearGroup.map (Int.castRingHom ℝ)) g))) =
SlashAction.map k g ⇑f- Defined in
- Mathlib.NumberTheory.ModularForms.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 298 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FunLikeCuspFormClass
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Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Matrixstatement · cited by 4,303
- MonoidHomstatement · cited by 3,629
- 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
- Matrix.SpecialLinearGroupstatement and proof · cited by 348
- Int.castRingHomstatement · cited by 254
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