Theorems · Theorem · number theory
log_riemannZeta_add_log_sub_isBigO_ofReal
(fun s => Real.log (riemannZeta ↑s).re + Real.log (s - 1)) =O[nhdsWithin 1 (Set.Ioi 1)] fun x => x - 1
- Defined in
- Mathlib.NumberTheory.Harmonic.ZetaAsymp
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 311 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites34
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- nhdsproof · cited by 5,554
- nhdsWithinstatement · cited by 1,912
- Complex.ofRealstatement and proof · cited by 1,654
- Set.Ioistatement and proof · cited by 1,463
- Real.logstatement and proof · cited by 939
- sub_zeroproof · cited by 938
- Complex.restatement and proof · cited by 882
- DifferentiableAtproof · cited by 617
- Asymptotics.IsBigOstatement and proof · cited by 506
- Differentiableproof · cited by 298
- nhdsWithin_le_nhdsproof · cited by 145
Cited by1
Results whose statement or proof uses this declaration.
- log_riemannZeta_add_log_sub_isLittleO_ofRealproof · cited by 0