Theorems · Theorem · number theory
ZetaAsymptotics.tendsto_Gamma_term_aux
Filter.Tendsto (fun s => 1 / (s - 1) - 1 / s.Gammaℝ / (s - 1)) (nhdsWithin 1 {1}ᶜ)
(nhds (-(↑Real.eulerMascheroniConstant + Complex.log (4 * ↑Real.pi)) / 2))- Defined in
- Mathlib.NumberTheory.Harmonic.ZetaAsymp
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 302 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites41
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.ofPredproof · cited by 6,101
- Complexstatement and proof · cited by 5,565
- nhdsstatement and proof · cited by 5,554
- Filter.Tendstostatement and proof · cited by 3,814
- Compl.complstatement and proof · cited by 2,925
- one_mulproof · cited by 2,841
- nhdsWithinstatement and proof · cited by 1,912
- Real.pistatement and proof · cited by 1,774
- Filter.univ_mem'proof · cited by 1,672
- Complex.ofRealstatement and proof · cited by 1,654
- Filter.mp_memproof · cited by 1,537
Cited by1
Results whose statement or proof uses this declaration.
- ZetaAsymptotics.tendsto_riemannZeta_sub_one_div_Gammaℝproof · cited by 1