Theorems · Theorem · number theory
HurwitzZeta.differentiableAt_completedHurwitzZetaEven
∀ (a : UnitAddCircle) {s : ℂ}, s ≠ 0 ∨ a ≠ 0 → s ≠ 1 → DifferentiableAt ℂ (HurwitzZeta.completedHurwitzZetaEven a) sThe even Hurwitz completed zeta is differentiable away from s = 0 and s = 1 (and also at
s = 0 if a ≠ 0)
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 300 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Complex.ofReal_divproof · cited by 83
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- Complex.ofReal_oneproof · cited by 43
Cited by2
Results whose statement or proof uses this declaration.
- HurwitzZeta.differentiableAt_hurwitzZetaEvenproof · cited by 3
- differentiableAt_completedZetaproof · cited by 0