Theorems · Theorem · number theory
HurwitzZeta.differentiable_hurwitzZeta_sub_hurwitzZeta
∀ (a b : UnitAddCircle), Differentiable ℂ fun s => HurwitzZeta.hurwitzZeta a s - HurwitzZeta.hurwitzZeta b s
The difference of two Hurwitz zeta functions is differentiable everywhere.
- Defined in
- Mathlib.NumberTheory.LSeries.HurwitzZeta
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 304 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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- Complexstatement and proof · cited by 5,565
- Differentiablestatement and proof · cited by 298
- UnitAddCirclestatement and proof · cited by 157
- HurwitzZeta.hurwitzZetaEvenproof · cited by 29
- add_sub_add_commproof · cited by 28
- HurwitzZeta.hurwitzZetaOddproof · cited by 21
- HurwitzZeta.hurwitzZetastatement · cited by 19
- Differentiable.addproof · cited by 8
- HurwitzZeta.differentiable_hurwitzZetaOddproof · cited by 5
- Differentiable.subproof · cited by 3
- HurwitzZeta.differentiable_hurwitzZetaEven_sub_hurwitzZetaEvenproof · cited by 1
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