Theorems · Theorem · number theory
ZetaAsymptotics.termSum_one
∀ (N : ℕ), ZetaAsymptotics.termSum 1 N = Real.log (↑N + 1) - ↑(harmonic (N + 1)) + 1
- Defined in
- Mathlib.NumberTheory.Harmonic.ZetaAsymp
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 274 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
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
- mul_oneproof · cited by 3,885
- add_zeroproof · cited by 2,707
- Nat.cast_oneproof · cited by 2,501
- zero_addproof · cited by 2,366
- Nat.cast_zeroproof · cited by 1,870
- Real.logstatement and proof · cited by 939
- pow_oneproof · cited by 894
- Nat.cast_addproof · cited by 586
- zero_leproof · cited by 382
- sub_add_cancelproof · cited by 344
- inv_oneproof · cited by 301
Cited by2
Results whose statement or proof uses this declaration.
- ZetaAsymptotics.term_tsum_oneproof · cited by 2
- ZetaAsymptotics.term_sum_oneproof · cited by 0