Theorems · Theorem · number theory
ModularFormClass.cuspFunction_smul
Deprecated since 2026-05-05Use ModularForm.cuspFunction_smul instead.
∀ {k : ℤ} {F : Type u_1} [inst : FunLike F UpperHalfPlane ℂ] {Γ : Subgroup (GL (Fin 2) ℝ)} {h : ℝ},
0 < h →
h ∈ Γ.strictPeriods →
∀ (a : ℂ) (f : F) [ModularFormClass F Γ k],
UpperHalfPlane.cuspFunction h (a • ⇑f) = a • UpperHalfPlane.cuspFunction h ⇑fAlias of ModularForm.cuspFunction_smul.
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- Foundations
- Depth 294 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FunLikeModularFormClass
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- DFunLike.coestatement · cited by 62,936
- Realstatement · cited by 25,697
- Complexstatement · cited by 5,565
- Matrixstatement · cited by 4,303
- Subgroupstatement · cited by 3,593
- AddSubgroupstatement · cited by 3,232
- FunLikestatement · cited by 2,560
- UpperHalfPlanestatement · cited by 626
- Matrix.GeneralLinearGroupstatement · cited by 556
- ModularFormClassstatement · cited by 64
- Subgroup.strictPeriodsstatement · cited by 63
- UpperHalfPlane.cuspFunctionstatement · cited by 46
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