OAI/NumberTheory/CubicMoment/Angular/AngularLogCutoff.lean

GitHub source file

13 declarations, 0 contain sorry, 0 declared as axioms

Fixed smooth cutoffs and a proper smooth logarithmic extension. They transfer the common log-derivative bounds to the actual annuli.

  1. def OAI.CubicFirstMoment.angularPositiveCutoff line 13
  2. lemma OAI.CubicFirstMoment.angularPositiveCutoff_smooth line 16
  3. lemma OAI.CubicFirstMoment.angularPositiveCutoff_one line 22
  4. lemma OAI.CubicFirstMoment.angularPositiveCutoff_tsupport line 29
  5. lemma OAI.CubicFirstMoment.angularPositiveCutoff_compact line 43
  6. lemma OAI.CubicFirstMoment.angularPositiveCutoff_positive line 47
  7. def OAI.CubicFirstMoment.angularLogPerturbation line 52
  8. lemma OAI.CubicFirstMoment.angularLogPerturbation_smooth line 55
  9. lemma OAI.CubicFirstMoment.angularLogPerturbation_compact line 71
  10. def OAI.CubicFirstMoment.angularLogExtension line 75
  11. lemma OAI.CubicFirstMoment.angularLogExtension_temperate line 77
  12. lemma OAI.CubicFirstMoment.angularLogExtension_growth line 83
  13. lemma OAI.CubicFirstMoment.angularLogExtension_eq_log line 100