Theorems · Definition · number theory
BoundingSieve.siftedSum
{s : BoundingSieve} → ℝThe weight of all the elements that are not a multiple of any of our finite set of primes.
- Defined in
- Mathlib.NumberTheory.SelbergSieve
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Finset.sumproof · cited by 5,195
- BoundingSievestatement and proof · cited by 30
- BoundingSieve.prodPrimesproof · cited by 18
- BoundingSieve.weightsproof · cited by 3
- BoundingSieve.supportproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- BoundingSieve.siftedSum_eq_sum_support_mul_itestatement · cited by 1
- BoundingSieve.siftedSum_le_sum_of_upperMoebiusstatement · cited by 1
- BoundingSieve.siftedSum_le_mainSum_errSum_of_upperMoebiusstatement · cited by 0