Theorems · Theorem · number theory
HurwitzZeta.differentiableAt_one_completedHurwitzZetaEven_sub_completedHurwitzZetaEven
∀ (a b : UnitAddCircle), DifferentiableAt ℂ (fun s => HurwitzZeta.completedHurwitzZetaEven a s - HurwitzZeta.completedHurwitzZetaEven b s) 1
The difference of two completed even Hurwitz zeta functions is differentiable at s = 1.
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- Foundations
- Depth 302 from the axioms · uses propext, Classical.choice, Quot.sound
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- Complexstatement and proof · cited by 5,565
- one_ne_zeroproof · cited by 885
- DifferentiableAtstatement and proof · cited by 617
- UnitAddCirclestatement and proof · cited by 157
- sub_divproof · cited by 37
- differentiable_idproof · cited by 35
- HurwitzZeta.completedHurwitzZetaEvenstatement and proof · cited by 30
- differentiable_constproof · cited by 14
- DifferentiableAt.subproof · cited by 13
- HurwitzZeta.completedHurwitzZetaEven₀proof · cited by 11
- DifferentiableAt.divproof · cited by 7
- HurwitzZeta.completedHurwitzZetaEven_eqproof · cited by 4
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