Theorems · Theorem · number theory
BoundingSieve.selbergTerms_apply
∀ {s : BoundingSieve} (d : ℕ), BoundingSieve.selbergTerms d = s.nu d * ∏ p ∈ d.primeFactors, (1 - s.nu p)⁻¹- Defined in
- Mathlib.NumberTheory.SelbergSieve
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- mul_oneproof · cited by 3,885
- Finset.prodstatement and proof · cited by 2,356
- Finset.prod_congrproof · cited by 646
- inv_oneproof · cited by 301
- ArithmeticFunctionstatement · cited by 290
- Nat.primeFactorsstatement and proof · cited by 129
- ArithmeticFunction.map_zeroproof · cited by 34
- BoundingSievestatement and proof · cited by 30
- BoundingSieve.nustatement and proof · cited by 17
- Finset.prod_inv_distribproof · cited by 13
Cited by2
Results whose statement or proof uses this declaration.
- BoundingSieve.selbergTerms_posproof · cited by 1
- BoundingSieve.inv_selbergTerms_eq_sum_divisors_moebius_nuproof · cited by 1