Theorems · Definition · number theory
riemannZeta
ℂ → ℂ
The Riemann zeta function ζ(s).
- Defined in
- Mathlib.NumberTheory.LSeries.RiemannZeta
- Cited by
- 85 results in Mathlib
- Foundations
- Depth 301 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement · cited by 5,565
- HurwitzZeta.hurwitzZetaEvenproof · cited by 29
Cited by89
Results whose statement or proof uses this declaration.
- EisensteinSeries.E2proof · cited by 14
- riemannZeta₀proof · cited by 7
- LSeries_one_eq_riemannZetastatement · cited by 6
- riemannZetaZerosproof · cited by 5
- differentiable_riemannZeta₀proof · cited by 5
- zeta_eq_tsum_one_div_nat_cpowstatement · cited by 5
- zeta_nat_eq_tsum_of_gt_onestatement · cited by 4
- riemannZeta_residue_onestatement · cited by 4
- tendsto_riemannZeta_sub_one_divstatement and proof · cited by 3
- riemannZeta_zerostatement · cited by 3
- EisensteinSeries.G2_eq_tsum_cexpstatement · cited by 3
- zeta_eq_tsum_one_div_nat_add_one_cpowstatement and proof · cited by 3