OAI/NumberTheory/TwoPoint/Halasz/HalaszStationaryPhase.lean
3 declarations, 0 contain sorry, 0 declared as axioms
Locate the unique possible stationary point and quantify the slope away from it on a positive finite interval.
- lemma
OAI.TwoPointCorrelations.halasz_log_slope_dropline 13 - lemma
OAI.TwoPointCorrelations.halasz_log_stationary_centerline 24 - theorem
OAI.TwoPointCorrelations.halasz_log_stationary_integralline 58Source documentation
Uniform square-root cancellation for an individual Poisson integral.
theorem halasz_log_stationary_integral (u v a b : ℝ) (hu : 0 < u) (ha : 0 < a) (hab : a ≤ b) : ‖∫ x in a..b, halaszLogPhase u v x‖ ≤ 10*b/Real.sqrt u := by …Mentions: OAI.TwoPointCorrelations.halaszLogPhase