OAI/NumberTheory/Ostmann/Construction/PrimeSubsetCellMixture.lean
2 declarations, 0 contain sorry, 0 declared as axioms
Exact cell reconstruction of the original harmonic prime law
- theorem
OAI.Ostmann.primeSubsetLogMeasure_cellsline 12 - theorem
OAI.Ostmann.BulkIntegrand.average_originalPrimeCellsline 25Source documentation
The original normalized subset prior equals the mixture of its complete log/residue cells, with the same single normalization constant.
theorem BulkIntegrand.average_originalPrimeCells {σ C : Type*} [Fintype σ] [Fintype C] (f : BulkIntegrand σ) (P : Finset ℕ) (q : ℕ) (a : C → ℕ) (u v : C → ℝ) (hSP : primeCellSupport q a u v ⊆ P) (hsep : ∀ c d, c ≠ d → ¬Nat.ModEq q (a c) (a d) ∨ v c ≤ u d ∨ v d ≤ u c) (i : σ) (x : σ → ℝ) : let S := primeCellSupport q a u v …Mentions: OAI.Ostmann.BulkIntegrand, OAI.Ostmann.primeCellSupport