Theorems · Theorem · number theory
HurwitzZeta.differentiableAt_hurwitzZeta_sub_one_div
∀ (a : UnitAddCircle), DifferentiableAt ℂ (fun s => HurwitzZeta.hurwitzZeta a s - 1 / (s - 1) / s.Gammaℝ) 1
- Defined in
- Mathlib.NumberTheory.LSeries.HurwitzZeta
- Cited by
- 1 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement and proof · cited by 5,565
- DifferentiableAtstatement and proof · cited by 617
- UnitAddCirclestatement and proof · cited by 157
- Complex.Gammaℝstatement and proof · cited by 60
- HurwitzZeta.hurwitzZetaEvenproof · cited by 29
- HurwitzZeta.hurwitzZetaOddproof · cited by 21
- HurwitzZeta.hurwitzZetastatement · cited by 19
- add_sub_right_commproof · cited by 10
- DifferentiableAt.addproof · cited by 8
- HurwitzZeta.differentiable_hurwitzZetaOddproof · cited by 5
- HurwitzZeta.differentiableAt_hurwitzZetaEven_sub_one_divproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- ZMod.differentiableAt_LFunctionproof · cited by 3