Theorems · Theorem · number theory
ArithmeticFunction.vonMangoldt_sum
∀ {n : ℕ}, ∑ i ∈ n.divisors, ArithmeticFunction.vonMangoldt i = Real.log ↑n- Cited by
- 2 results in Mathlib
- Foundations
- Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites38
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Finsetproof · cited by 13,712
- Finset.sumstatement and proof · cited by 5,195
- add_zeroproof · cited by 2,707
- Finset.sum_congrproof · cited by 2,323
- Nat.Primeproof · cited by 2,059
- LT.lt.ne'proof · cited by 1,417
- Finset.rangeproof · cited by 1,341
- Finset.filterproof · cited by 949
- Real.logstatement and proof · cited by 939
- nsmul_eq_mulproof · cited by 369
Cited by2
Results whose statement or proof uses this declaration.
- ArithmeticFunction.vonMangoldt_mul_zetaproof · cited by 3
- ArithmeticFunction.vonMangoldt_le_logproof · cited by 2