OAI/NumberTheory/Ostmann/Construction/PrimeLogCellMeasure.lean

GitHub source file

6 declarations, 0 contain sorry, 0 declared as axioms

The exact atomic measure of a harmonic prime cell

  1. instance OAI.Ostmann.finite_primeLogAtom line 13
  2. def OAI.Ostmann.primeLogCellMeasure line 17
  3. instance OAI.Ostmann.finite_primeLogCellMeasure line 20
  4. theorem OAI.Ostmann.primeLogCellMeasure_integral line 25
  5. theorem OAI.Ostmann.primeLogCellMeasure_mass line 38
  6. theorem OAI.Ostmann.PublishedProgressionInput.primeLogCellMeasure_mass_eventually line 47

    Source documentation

    All residue classes and shorter cells obey the same eventual mass bound.

    theorem PublishedProgressionInput.primeLogCellMeasure_mass_eventually (P : PublishedProgressionInput) :
        ∀ᶠ u : ℝ in atTop, ∀ q a : ℕ, ∀ v : ℝ, v ≤ u + 1 →
          (primeLogCellMeasure q a u v).real Set.univ ≤ 2 := by
    …

    Mentions: OAI.Ostmann.PublishedProgressionInput, OAI.Ostmann.primeLogCellMeasure