Theorems · Theorem · number theory
ModularForm.tendsto_atImInfty_tprod_one_sub_eta_q_pow
Filter.Tendsto (fun x => ∏' (n : ℕ), (1 - ModularForm.eta_q n ↑x) ^ 24) UpperHalfPlane.atImInfty (nhds 1)
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 285 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites55
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
- Filterproof · cited by 8,121
- Complexstatement and proof · cited by 5,565
- nhdsstatement and proof · cited by 5,554
- Norm.normproof · cited by 5,413
- Filter.Tendstostatement and proof · cited by 3,814
- Filter.Eventuallyproof · cited by 3,134
- add_zeroproof · cited by 2,707
- Nat.cast_oneproof · cited by 2,501
- LT.lt.leproof · cited by 2,189
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- Nat.cast_zeroproof · cited by 1,870
Cited by3
Results whose statement or proof uses this declaration.
- ModularForm.discriminant_isZeroAtImInftyproof · cited by 1
- ModularForm.exp_isBigO_discriminantproof · cited by 1
- ModularForm.discriminant_bounded_factorproof · cited by 0