Theorems · Theorem · number theory
ModularForm.eta_tprod_ne_zero
∀ {z : ℂ}, z ∈ UpperHalfPlane.upperHalfPlaneSet → ∏' (n : ℕ), (1 - ModularForm.eta_q n z) ≠ 0- Cited by
- 2 results in Mathlib
- Foundations
- Depth 282 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Complexstatement and proof · cited by 5,565
- Norm.normproof · cited by 5,413
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- Summableproof · cited by 778
- tprodstatement · cited by 230
- norm_negproof · cited by 190
- norm_normproof · cited by 113
- norm_powproof · cited by 106
- Function.Periodic.qParamproof · cited by 42
- UpperHalfPlane.upperHalfPlaneSetstatement and proof · cited by 25
- ModularForm.eta_qstatement · cited by 15
Cited by2
Results whose statement or proof uses this declaration.
- ModularForm.eta_ne_zeroproof · cited by 2
- ModularForm.logDeriv_eta_eq_E2proof · cited by 1