Theorems · Theorem · number theory
ZetaAsymptotics.term_of_lt
∀ {n : ℕ},
0 < n →
∀ {s : ℝ},
1 < s →
ZetaAsymptotics.term n s =
1 / (s - 1) * (1 / ↑n ^ (s - 1) - 1 / (↑n + 1) ^ (s - 1)) - ↑n / s * (1 / ↑n ^ s - 1 / (↑n + 1) ^ s)- Defined in
- Mathlib.NumberTheory.Harmonic.ZetaAsymp
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 270 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.
- Setproof · cited by 53,352
- Realstatement and proof · cited by 25,697
- Nat.cast_oneproof · cited by 2,501
- mul_commproof · cited by 2,262
- LT.lt.leproof · cited by 2,189
- Nat.cast_zeroproof · cited by 1,870
- LT.lt.ne'proof · cited by 1,417
- MeasureTheory.MeasureSpace.volumeproof · cited by 1,323
- div_eq_mul_invproof · cited by 715
- LT.lt.trans_leproof · cited by 678
- one_divproof · cited by 624
- intervalIntegralproof · cited by 546
Cited by1
Results whose statement or proof uses this declaration.
- ZetaAsymptotics.termSum_of_ltproof · cited by 2