Theorems · Theorem · number theory
UpperHalfPlane.qExpansion_mul
∀ {h : ℝ} {f g : UpperHalfPlane → ℂ},
AnalyticAt ℂ (UpperHalfPlane.cuspFunction h f) 0 →
AnalyticAt ℂ (UpperHalfPlane.cuspFunction h g) 0 →
UpperHalfPlane.qExpansion h (f * g) = UpperHalfPlane.qExpansion h f * UpperHalfPlane.qExpansion h g- Cited by
- 1 results in Mathlib
- Foundations
- Depth 210 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites27
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- Finset.sum_congrproof · cited by 2,323
- Finset.rangeproof · cited by 1,341
- one_ne_zeroproof · cited by 885
- PowerSeriesstatement · cited by 797
- div_oneproof · cited by 629
- UpperHalfPlanestatement and proof · cited by 626
- Nat.factorialproof · cited by 616
- Nat.chooseproof · cited by 494
Cited by1
Results whose statement or proof uses this declaration.
- ModularForm.qExpansion_mul_coeproof · cited by 2