Theorems · Theorem · number theory
ZetaAsymptotics.term_welldef
∀ {n : ℕ},
0 < n → ∀ {s : ℝ}, 0 < s → IntervalIntegrable (fun x => (x - ↑n) / x ^ (s + 1)) MeasureTheory.volume (↑n) (↑n + 1)- Defined in
- Mathlib.NumberTheory.Harmonic.ZetaAsymp
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 245 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
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
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- Set.Iccproof · cited by 1,702
- LT.lt.ne'proof · cited by 1,417
- MeasureTheory.MeasureSpace.volumestatement · cited by 1,323
- LT.lt.trans_leproof · cited by 678
- le_of_not_gtproof · cited by 430
- IntervalIntegrablestatement · cited by 316
- neg_neg_of_posproof · cited by 227
- Real.rpow_pos_of_posproof · cited by 155
- Nat.cast_posproof · cited by 113
Cited by2
Results whose statement or proof uses this declaration.
- ZetaAsymptotics.continuousOn_termTSumproof · cited by 2
- ZetaAsymptotics.continuousOn_termproof · cited by 1