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Theorems · Theorem · number theory

HurwitzZeta.differentiableAt_cosZeta

∀ (a : UnitAddCircle) {s : ℂ}, s ≠ 1 ∨ a ≠ 0 → DifferentiableAt ℂ (HurwitzZeta.cosZeta a) s

The cosine zeta function is differentiable everywhere, except at s = 1 if a = 0.

Defined in
Mathlib.NumberTheory.LSeries.HurwitzZetaEven
Cited by
2 results in Mathlib
Foundations
Depth 302 from the axioms · uses propext, Classical.choice, Quot.sound

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