OAI/NumberTheory/Ostmann/Arithmetic/MovingPatternPrimeRate.lean
1 declarations, 0 contain sorry, 0 declared as axioms
One original-prior signed bulk estimate at the manuscript scales
- theorem
OAI.Ostmann.PublishedProgressionInput.movingPattern_original_prime_rateline 20Source documentation
The three arithmetic costs are combined for the literal original prime mean. The only analytic input is the published progression theorem; local cancellation is proved from the balanced spectator sets and their mixed Fourier bounds. All prime normalizers are those before idealization.
theorem PublishedProgressionInput.movingPattern_original_prime_rate (P : PublishedProgressionInput) (ψ : 𝓢(ℝ, ℂ)) (n r₀ k : ℕ) (A lo hi Bφ Dφ F Cmass gain : ℝ) (hA : 0 ≤ A) (hlo : 1 ≤ lo) (hhi : lo ≤ hi) (hF : 0 ≤ F) (hCmass : 1 ≤ Cmass) (hBφ : 0 ≤ Bφ) (hDφ : 0 ≤ Dφ) : ∃ ε : ℝ, 0 < ε ∧ ε ≤ 1 ∧ ∃ cutoff : ℕ, 3 ≤ cutoff ∧ ∀ᶠ L : ℝ in atTop, let m := spectatorBulkCount k L …Mentions: OAI.Ostmann.PublishedProgressionInput, OAI.Ostmann.spectatorBulkCount