Theorems · Theorem · number theory
HurwitzZeta.differentiable_hurwitzZetaOdd
∀ (a : UnitAddCircle), Differentiable ℂ (HurwitzZeta.hurwitzZetaOdd a)
The odd Hurwitz zeta function is differentiable everywhere.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 303 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 · cited by 5,565
- Differentiablestatement · cited by 298
- UnitAddCirclestatement and proof · cited by 157
- differentiable_idproof · cited by 35
- HurwitzZeta.hurwitzZetaOddstatement · cited by 21
- Differentiable.compproof · cited by 17
- differentiable_constproof · cited by 14
- Differentiable.mulproof · cited by 9
- Differentiable.addproof · cited by 8
- Complex.differentiable_Gammaℝ_invproof · cited by 6
- HurwitzZeta.differentiable_completedHurwitzZetaOddproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- HurwitzZeta.hurwitzZeta_residue_oneproof · cited by 1
- HurwitzZeta.differentiableAt_hurwitzZetaproof · cited by 1
- HurwitzZeta.differentiableAt_hurwitzZeta_sub_one_divproof · cited by 1
- HurwitzZeta.differentiable_hurwitzZeta_sub_hurwitzZetaproof · cited by 0
- HurwitzZeta.tendsto_hurwitzZeta_sub_one_div_nhds_oneproof · cited by 0