Theorems · Theorem · number theory
jacobiTheta_T_sq_smul
∀ (τ : UpperHalfPlane), jacobiTheta ↑(ModularGroup.T ^ 2 • τ) = jacobiTheta ↑τ
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- Foundations
- Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Complexstatement · cited by 5,565
- Complex.ofRealproof · cited by 1,654
- UpperHalfPlanestatement and proof · cited by 626
- Matrix.SpecialLinearGroupstatement · cited by 348
- UpperHalfPlane.coestatement and proof · cited by 288
- Int.cast_ofNatproof · cited by 86
- ModularGroup.Tstatement and proof · cited by 48
- jacobiThetastatement and proof · cited by 11
- UpperHalfPlane.modular_T_zpow_smulproof · cited by 4
- jacobiTheta_two_addproof · cited by 1
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