OAI/NumberTheory/Ostmann/Construction/PrimeLogCellMeasure.lean
6 declarations, 0 contain sorry, 0 declared as axioms
The exact atomic measure of a harmonic prime cell
- instance
OAI.Ostmann.finite_primeLogAtomline 13 - def
OAI.Ostmann.primeLogCellMeasureline 17 - instance
OAI.Ostmann.finite_primeLogCellMeasureline 20 - theorem
OAI.Ostmann.primeLogCellMeasure_integralline 25 - theorem
OAI.Ostmann.primeLogCellMeasure_massline 38 - theorem
OAI.Ostmann.PublishedProgressionInput.primeLogCellMeasure_mass_eventuallyline 47Source 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