OAI/NumberTheory/Ostmann/Arithmetic/MovingPatternWindowPrimeRate.lean

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1 declarations, 0 contain sorry, 0 declared as axioms

One original-prior signed bulk estimate at the manuscript scales

  1. theorem OAI.Ostmann.PublishedProgressionInput.movingPattern_original_prime_rate_window line 20

    Source 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_window
        (P : PublishedProgressionInput) (ψ : 𝓢(ℝ, ℂ)) (n r₀ k : ℕ)
        (A H Bφ Dφ F Cmass gain : ℝ)
        (hA : 0 ≤ A) (hH : 0 ≤ H) (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