Theorems · Theorem · number theory
HurwitzZeta.differentiableAt_completedCosZeta
∀ (a : UnitAddCircle) {s : ℂ}, s ≠ 0 → s ≠ 1 ∨ a ≠ 0 → DifferentiableAt ℂ (HurwitzZeta.completedCosZeta a) s- Cited by
- 1 results in Mathlib
- Foundations
- Depth 300 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- Complex.ofRealproof · cited by 1,654
- one_divproof · cited by 624
- DifferentiableAtstatement · cited by 617
- AddSubgroup.zmultiplesstatement · cited by 493
- two_ne_zeroproof · cited by 251
- UnitAddCirclestatement and proof · cited by 157
- differentiableAt_idproof · cited by 63
- Complex.ofReal_invproof · cited by 62
- DifferentiableAt.compproof · cited by 38
- WeakFEPair.symmproof · cited by 24
Cited by1
Results whose statement or proof uses this declaration.
- HurwitzZeta.differentiableAt_cosZetaproof · cited by 2