Theorems · Theorem · number theory
ModularForm.qExpansion_of_pow
∀ {k : ℤ} {Γ : Subgroup (GL (Fin 2) ℝ)} {h : ℝ} [inst : Γ.HasDetPlusMinusOne],
0 < h →
h ∈ Γ.strictPeriods →
∀ (f : ModularForm Γ k) (n : ℕ),
UpperHalfPlane.qExpansion h ⇑(((DirectSum.of (ModularForm Γ) k) f ^ n) (↑n * k)) =
UpperHalfPlane.qExpansion h ⇑f ^ n- Cited by
- 0 results in Mathlib
- Foundations
- Depth 298 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Subgroup.HasDetPlusMinusOne
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
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 · cited by 5,565
- Matrixstatement · cited by 4,303
- Subgroupstatement and proof · cited by 3,593
- AddSubgroupstatement · cited by 3,232
- AddMonoidHomstatement · cited by 3,230
- PowerSeriesstatement · cited by 797
- DFinsuppstatement · cited by 694
- UpperHalfPlanestatement · cited by 626
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- DirectSumstatement · cited by 446
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.