Theorems · Theorem · number theory
HurwitzZeta.differentiableAt_expZeta
∀ (a : UnitAddCircle) (s : ℂ), s ≠ 1 ∨ a ≠ 0 → DifferentiableAt ℂ (HurwitzZeta.expZeta a) s
- Defined in
- Mathlib.NumberTheory.LSeries.HurwitzZeta
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 304 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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.Iproof · cited by 866
- DifferentiableAtstatement · cited by 617
- AddSubgroup.zmultiplesstatement · cited by 493
- UnitAddCirclestatement and proof · cited by 157
- differentiableAt_constproof · cited by 23
- DifferentiableAt.mulproof · cited by 13
- HurwitzZeta.expZetastatement · cited by 12
- DifferentiableAt.addproof · cited by 8
- HurwitzZeta.differentiableAt_cosZetaproof · cited by 2
- HurwitzZeta.differentiableAt_sinZetaproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- ZMod.LFunction_stdAddChar_eq_expZetaproof · cited by 1
- HurwitzZeta.differentiable_expZeta_of_ne_zeroproof · cited by 0