Theorems · Definition · number theory
HurwitzZeta.hurwitzZetaEven
UnitAddCircle → ℂ → ℂ
The even part of the Hurwitz zeta function, i.e. the meromorphic function of s which agrees
with 1 / 2 * ∑' (n : ℤ), 1 / |n + a| ^ s for 1 < re s
- Cited by
- 29 results in Mathlib
- Foundations
- Depth 300 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
- Function.updateproof · cited by 502
- UnitAddCirclestatement and proof · cited by 157
- Complex.Gammaℝproof · cited by 60
- HurwitzZeta.completedHurwitzZetaEvenproof · cited by 30
Cited by31
Results whose statement or proof uses this declaration.
- riemannZetaproof · cited by 85
- HurwitzZeta.hurwitzZetaproof · cited by 19
- HurwitzZeta.hurwitzZetaEven_negstatement · cited by 4
- HurwitzZeta.hurwitzZetaEven_def_of_ne_or_nestatement · cited by 4
- ZMod.LFunction_def_evenstatement and proof · cited by 3
- riemannZeta_oneproof · cited by 3
- HurwitzZeta.differentiableAt_hurwitzZetaEvenstatement · cited by 3
- HurwitzZeta.differentiableAt_hurwitzZetaEven_sub_one_divstatement · cited by 3
- HurwitzZeta.hurwitzZetaEven_one_substatement and proof · cited by 3
- HurwitzZeta.tendsto_hurwitzZetaEven_sub_one_div_nhds_onestatement and proof · cited by 2
- ZMod.LFunction_def_oddproof · cited by 2
- HurwitzZeta.hurwitzZetaEven_neg_two_mul_nat_add_onestatement · cited by 2