ModularForm.differentiableOn_tprod_one_sub_pow_pow

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

For any k, the function q ↦ ∏' n, (1 - q^(n+1))^k is differentiable on the open unit disc.

Defined in: Mathlib.NumberTheory.ModularForms.DedekindEta
Cited by: 1 results in Mathlib
Foundations: Depth 292 from the axioms · uses propext, Classical.choice, Quot.sound

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