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Theorems · Theorem · number theory

ModularForm.qExpansionRingHom_apply

∀ {Γ : Subgroup (GL (Fin 2) ℝ)} {h : ℝ} [inst : Γ.HasDetPlusMinusOne] (hh : 0 < h) (hΓ : h ∈ Γ.strictPeriods) (k : ℤ)
  (f : ModularForm Γ k),
  (ModularForm.qExpansionRingHom h hh hΓ) ((DirectSum.of (ModularForm Γ) k) f) = UpperHalfPlane.qExpansion h ⇑f
Defined in
Mathlib.NumberTheory.ModularForms.QExpansion
Cited by
1 results in Mathlib
Foundations
Depth 297 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Subgroup.HasDetPlusMinusOne
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ModularForm.qExpansion_of_pow · cited by 0ModularForm.qExpansion_of…DFunLike.coe · cited by 62936DFunLike.coeReal · cited by 25697RealRingHom · cited by 10189RingHomComplex · cited by 5565ComplexMatrix · cited by 4303MatrixSubgroup · cited by 3593SubgroupAddSubgroup · cited by 3232AddSubgroupAddMonoidHom · cited by 3230AddMonoidHomPowerSeries · cited by 797PowerSeriesUpperHalfPlane · cited by 626UpperHalfPlaneMatrix.GeneralLinearGroup · cited by 556Matrix.GeneralLinearGroupDirectSum · cited by 446DirectSumDirectSum.of · cited by 122DirectSum.ofModularForm · cited by 98ModularFormUpperHalfPlane.qExpansion · cited by 64UpperHalfPlane.qExpansionModularForm.qExpansionRingHom…CITED BYCITES

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