Theorems · Theorem · number theory
UpperHalfPlane.qExpansion_neg
∀ {h : ℝ} {f : UpperHalfPlane → ℂ},
AnalyticAt ℂ (UpperHalfPlane.cuspFunction h f) 0 → UpperHalfPlane.qExpansion h (-f) = -UpperHalfPlane.qExpansion h f- Cited by
- 2 results in Mathlib
- Foundations
- Depth 195 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- one_smulproof · cited by 1,374
- PowerSeriesstatement · cited by 797
- UpperHalfPlanestatement and proof · cited by 626
- AnalyticAtstatement and proof · cited by 321
- neg_smulproof · cited by 306
- UpperHalfPlane.qExpansionstatement and proof · cited by 64
- UpperHalfPlane.cuspFunctionstatement and proof · cited by 46
- UpperHalfPlane.qExpansion_smulproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- UpperHalfPlane.qExpansion_subproof · cited by 1
- ModularForm.qExpansion_negproof · cited by 1