Theorems · Definition · number theory
BoundingSieve.nu
BoundingSieve → ArithmeticFunction ℝ
nu d is an approximation to the proportion of elements of support that are a multiple of
d
- Defined in
- Mathlib.NumberTheory.SelbergSieve
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- ArithmeticFunctionstatement · cited by 290
- BoundingSievestatement and proof · cited by 30
Cited by20
Results whose statement or proof uses this declaration.
- BoundingSieve.selbergTermsproof · cited by 7
- BoundingSieve.nu_multstatement · cited by 4
- BoundingSieve.nu_pos_of_dvd_prodPrimesstatement · cited by 4
- BoundingSieve.mainSumproof · cited by 3
- BoundingSieve.nu_inv_eq_sum_divisors_inv_selbergTermsstatement and proof · cited by 2
- BoundingSieve.nu_lt_one_of_primestatement · cited by 2
- BoundingSieve.nu_pos_of_primestatement · cited by 2
- BoundingSieve.prod_primeFactors_nustatement and proof · cited by 2
- BoundingSieve.remproof · cited by 2
- BoundingSieve.selbergTerms_applystatement and proof · cited by 2
- BoundingSieve.inv_selbergTerms_eq_sum_divisors_moebius_nustatement and proof · cited by 1
- BoundingSieve.mainSum_lambdaSquared_eq_sum_sum_mulstatement and proof · cited by 1