Theorems · Theorem · number theory
summable_riemannZetaSummand
∀ {s : ℂ} (hs : 1 < s.re), Summable fun n => ‖(riemannZetaSummandHom ⋯) n‖When s.re > 1, the map n ↦ n^(-s) is norm-summable.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement and proof · cited by 25,697
- TopologicalSpaceproof · cited by 24,529
- AddCommMonoidproof · cited by 12,281
- Complexstatement and proof · cited by 5,565
- Norm.normstatement and proof · cited by 5,413
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- Complex.restatement and proof · cited by 882
- Summablestatement and proof · cited by 778
- MonoidWithZeroHomstatement · cited by 704
- SummationFilterproof · cited by 607
- Nat.cast_nonnegproof · cited by 109
Cited by4
Results whose statement or proof uses this declaration.
- summable_dirichletSummandproof · cited by 3
- tsum_riemannZetaSummandproof · cited by 2
- riemannZeta_eulerProduct_hasProdproof · cited by 1
- riemannZeta_eulerProductproof · cited by 0