Theorems · Definition · number theory
HurwitzZeta.completedHurwitzZetaEven
UnitAddCircle → ℂ → ℂ
The meromorphic function of s which agrees with
1 / 2 * Gamma (s / 2) * π ^ (-s / 2) * ∑' (n : ℤ), 1 / |n + a| ^ s for 1 < re s.
- Cited by
- 30 results in Mathlib
- Foundations
- Depth 299 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- UnitAddCirclestatement and proof · cited by 157
- HurwitzZeta.hurwitzEvenFEPairproof · cited by 21
- WeakFEPair.Λproof · cited by 20
Cited by33
Results whose statement or proof uses this declaration.
- HurwitzZeta.hurwitzZetaEvenproof · cited by 29
- completedRiemannZetaproof · cited by 14
- ZMod.completedLFunctionproof · cited by 14
- HurwitzZeta.completedHurwitzZetaEven_eqstatement · cited by 4
- HurwitzZeta.hurwitzZetaEven_def_of_ne_or_nestatement and proof · cited by 4
- HurwitzZeta.hurwitzZetaEven_negproof · cited by 4
- HurwitzZeta.hurwitzZetaEven_one_subproof · cited by 3
- HurwitzZeta.completedHurwitzZetaEven_one_substatement · cited by 3
- HurwitzZeta.completedHurwitzZetaEven_zerostatement · cited by 3
- HurwitzZeta.cosZeta_zeroproof · cited by 3
- HurwitzZeta.differentiableAt_hurwitzZetaEvenproof · cited by 3
- HurwitzZeta.differentiableAt_hurwitzZetaEven_sub_one_divproof · cited by 3