Theorems · Definition · number theory
HurwitzZeta.completedCosZeta
UnitAddCircle → ℂ → ℂ
The meromorphic function of s which agrees with
Gamma (s / 2) * π ^ (-s / 2) * ∑' n : ℕ, cos (2 * π * a * n) / n ^ s for 1 < re s.
- Cited by
- 19 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.
Cites5
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
- WeakFEPair.symmproof · cited by 24
- HurwitzZeta.hurwitzEvenFEPairproof · cited by 21
- WeakFEPair.Λproof · cited by 20
Cited by20
Results whose statement or proof uses this declaration.
- HurwitzZeta.cosZetaproof · cited by 18
- HurwitzZeta.completedCosZeta_zerostatement and proof · cited by 3
- HurwitzZeta.completedHurwitzZetaEven_one_substatement and proof · cited by 3
- HurwitzZeta.cosZeta_negproof · cited by 3
- HurwitzZeta.cosZeta_zeroproof · cited by 3
- HurwitzZeta.hurwitzZetaEven_one_subproof · cited by 3
- HurwitzZeta.hasSum_int_completedCosZetastatement and proof · cited by 2
- HurwitzZeta.differentiableAt_cosZetaproof · cited by 2
- HurwitzZeta.completedCosZeta_negstatement · cited by 1
- HurwitzZeta.completedCosZeta_one_substatement · cited by 1
- HurwitzZeta.completedCosZeta_residue_zerostatement · cited by 1
- HurwitzZeta.hasSum_int_cosZetaproof · cited by 1