OAI/NumberTheory/Ostmann/Construction/ScheduledSamplePhase.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

The actual scheduled phase on a finite prime sample

  1. theorem OAI.Ostmann.scheduledPrimePhase_congr_labels line 12
  2. def OAI.Ostmann.scheduledSamplePhase line 23
  3. theorem OAI.Ostmann.scheduledSamplePhase_partition line 34

    Source documentation

    Finite Fubini and the arithmetic transfer evaluate literally the same scheduled phase after the pivot/H/Y reindexing.

    theorem scheduledSamplePhase_partition {I : Type*} [Fintype I]
        (role : I → CopyScheduleRole) (χ : I → ∀ p : ℕ, DirichletCharacter ℂ p)
        (κ : I → ℕ → ℂ) (pivot : ℕ → I) (n r : ℕ)
        (e : Fin r ≃ CurrentPivotConstituent role n) (t : FrequencyTree ℤ n)
        (P : Finset ℕ) (hP : ∀ p ∈ P, p.Prime)
        (u : CopyScheduleY role n → P) (x : Fin r → P) (l : CopyScheduleH role n → P)
        (center : ∀ p : ℕ, ZMod p) :
        letI : ∀ h, Fact (l h : ℕ).Prime := fun h => ⟨hP _ (l h).property⟩
    …

    Mentions: OAI.Ostmann.CopyScheduleRole, OAI.Ostmann.CurrentPivotConstituent, OAI.Ostmann.FrequencyTree, OAI.Ostmann.CopyScheduleY, OAI.Ostmann.CopyScheduleH