OAI/NumberTheory/Ostmann/Arithmetic/MovingSeparatedWeight.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

1. theorem OAI.Ostmann.MovingSlotData.CompensationPrimeData.distinct line 11
2. theorem OAI.Ostmann.movingOriginalGiantWeight_separated_factor line 22

   Source documentation

   The original moving weight factors through the separated modulus. No cleared ancestor denominator or internal prime enters the frequency period assumed here; all remaining periods are prime squares or spectators.

   theorem movingOriginalGiantWeight_separated_factor {σ I : Type*} (q : I → ℕ)
       [∀ i, Fact (q i).Prime] (tier : σ → ℕ) (value : σ → ℕ)
       (hprime : ∀ i, (value i).Prime)
       (hdisjoint : ∀ i j, tier i ≠ tier j → value i ≠ value j)
       (outside : List ℕ) (childBound pivotBound : ℕ → ℕ)
       (F : {n : ℕ} → MovingSlotData σ n → ℤ → ℂ)
       (E : {n : ℕ} → MovingSlotData σ n → ℤ → ℤ → ℤ → ℝ)
       (g : ∀ i, ZMod (q i) → ℂ) (hg0 : ∀ i, g i 0 = 0)
       (Dq : ∀ i, (ZMod (q i))ˣ) (S : Finset I)
       (hcover : ∀ p ∈ outside, ∃ i ∈ S, q i = p)
       (ψ : 𝓢(ℝ, ℂ)) (X lo hi : ℝ) (hlo : 1 ≤ lo) (hhi : lo ≤ hi)
       (φ : ℝ → ℝ) (G : ℕ → ℝ) (B D : ℝ) (hB : 0 ≤ B) (hD : 0 ≤ D)
   …

   Mentions: OAI.Ostmann.MovingSlotData