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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)).

Defined in
Mathlib.NumberTheory.ModularForms.DedekindEta
Cited by
2 results in Mathlib
Foundations
Depth 283 from the axioms · uses propext, Classical.choice, Quot.sound

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