Theorems · Theorem · number theory
HurwitzZeta.hurwitzZetaEven_residue_one
∀ (a : UnitAddCircle), Filter.Tendsto (fun s => (s - 1) * HurwitzZeta.hurwitzZetaEven a s) (nhdsWithin 1 {1}ᶜ) (nhds 1)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 303 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites27
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Complexstatement and proof · cited by 5,565
- nhdsstatement and proof · cited by 5,554
- mul_oneproof · cited by 3,885
- Filter.Tendstostatement and proof · cited by 3,814
- Compl.complstatement and proof · cited by 2,925
- nhdsWithinstatement and proof · cited by 1,912
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- one_ne_zeroproof · cited by 885
- inv_oneproof · cited by 301
- Continuous.tendstoproof · cited by 206
Cited by2
Results whose statement or proof uses this declaration.
- riemannZeta_residue_oneproof · cited by 4
- HurwitzZeta.hurwitzZeta_residue_oneproof · cited by 1