Theorems · Theorem · number theory
ModularForm.multipliableLocallyUniformlyOn_one_sub_pow
MultipliableLocallyUniformlyOn (fun n q => 1 - q ^ (n + 1)) (Metric.ball 0 1)
The infinite product ∏ (1 - q^(n+1)) converges locally uniformly on the open unit disc,
with limit q ↦ ∏' n, (1 - q^(n+1)).
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 283 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites34
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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Cited by2
Results whose statement or proof uses this declaration.
- ModularForm.multipliableLocallyUniformlyOn_etaproof · cited by 3
- ModularForm.differentiableOn_tprod_one_sub_powproof · cited by 2