OAI/NumberTheory/Ostmann/Arithmetic/MovingPatternMixedPrimeNormRate.lean

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The original-prior norm estimate at the manuscript scales

  1. theorem OAI.Ostmann.PublishedProgressionInput.movingPattern_original_mixed_prime_norm_rate line 18

    Source documentation

    Uniform prime-cell comparison for the actual arithmetic absolute mean. The sharp Fourier window factor is retained in the main term. The published progression input controls the cell, collision and deletion errors.

    theorem PublishedProgressionInput.movingPattern_original_mixed_prime_norm_rate
        (P : PublishedProgressionInput) (ψ : 𝓢(ℝ, ℂ)) (n r₀ k : ℕ)
        (A Wwin Bφ Dφ F Cmass : ℝ)
        (hA : 0 ≤ A) (hWwin : 0 ≤ Wwin) (hF : 0 ≤ F) (hCmass : 1 ≤ Cmass)
        (hBφ : 0 ≤ Bφ) (hDφ : 0 ≤ Dφ) :
        ∀ᶠ L : ℝ in atTop, let m := spectatorBulkCount k L
    …

    Mentions: OAI.Ostmann.PublishedProgressionInput, OAI.Ostmann.spectatorBulkCount