OAI/NumberTheory/Ostmann/Arithmetic/MovingPatternTwoPrimeInitialNormRate.lean
1 declarations, 0 contain sorry, 0 declared as axioms
Retaining the norm bound under the initial bulk law
- theorem
OAI.Ostmann.PublishedProgressionInput.movingPattern_initial_two_prime_norm_rateline 16Source 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_two_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