OAI/NumberTheory/Ostmann/Arithmetic/MovingPatternMixedPrimeInitialNormRate.lean

GitHub source file

1 declarations, 0 contain sorry, 0 declared as axioms

Retaining the norm bound under the initial bulk law

  1. theorem OAI.Ostmann.PublishedProgressionInput.movingPattern_initial_mixed_prime_norm_rate line 16

    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_initial_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