Theorems · Theorem · number theory
HurwitzZeta.completedCosZeta_zero
∀ (s : ℂ), HurwitzZeta.completedCosZeta 0 s = completedRiemannZeta s
- Defined in
- Mathlib.NumberTheory.LSeries.RiemannZeta
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 302 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- AddSubgroup.zmultiplesstatement · cited by 493
- UnitAddCirclestatement · cited by 157
- WeakFEPairproof · cited by 51
- HurwitzZeta.hurwitzEvenFEPairproof · cited by 21
- WeakFEPair.Λproof · cited by 20
- HurwitzZeta.completedCosZetastatement and proof · cited by 19
- completedRiemannZetastatement · cited by 14
- HurwitzZeta.hurwitzEvenFEPair_zero_symmproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- HurwitzZeta.cosZeta_zeroproof · cited by 3
- completedRiemannZeta_one_subproof · cited by 1
- completedZeta_eq_tsum_of_one_lt_reproof · cited by 0