Theorems · Theorem · number theory
HurwitzZeta.differentiable_cosZeta_of_ne_zero
∀ {a : UnitAddCircle}, a ≠ 0 → Differentiable ℂ (HurwitzZeta.cosZeta a)If a ≠ 0 then the cosine zeta function is entire.
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- Foundations
- Depth 303 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Complexstatement and proof · cited by 5,565
- AddSubgroup.zmultiplesstatement · cited by 493
- Differentiablestatement · cited by 298
- UnitAddCirclestatement and proof · cited by 157
- HurwitzZeta.cosZetastatement · cited by 18
- HurwitzZeta.differentiableAt_cosZetaproof · cited by 2
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