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Theorems · Theorem · number theory

ModularForm.differentiableOn_tprod_one_sub_pow

DifferentiableOn ℂ (fun q => ∏' (n : ℕ), (1 - q ^ (n + 1))) (Metric.ball 0 1)

The infinite product q ↦ ∏' n, (1 - q^(n+1)) is differentiable on the open unit disc.

Defined in
Mathlib.NumberTheory.ModularForms.DedekindEta
Cited by
2 results in Mathlib
Foundations
Depth 291 from the axioms · uses propext, Classical.choice, Quot.sound

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