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Theorems · Theorem · number theory

HurwitzZeta.differentiableAt_completedHurwitzZetaEven

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

The even Hurwitz completed zeta is differentiable away from s = 0 and s = 1 (and also at s = 0 if a ≠ 0)

Defined in
Mathlib.NumberTheory.LSeries.HurwitzZetaEven
Cited by
2 results in Mathlib
Foundations
Depth 300 from the axioms · uses propext, Classical.choice, Quot.sound

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