OAI/NumberTheory/CubicMoment/Estimates/MellinHeightKernel.lean

GitHub source file

10 declarations, 0 contain sorry, 0 declared as axioms

The exact oscillatory kernel of the height-averaged variance.

  1. def OAI.CubicFirstMoment.heightPhase line 11
  2. def OAI.CubicFirstMoment.mellinHeightKernel line 13
  3. lemma OAI.CubicFirstMoment.norm_heightPhase line 16
  4. lemma OAI.CubicFirstMoment.heightPhase_intervalIntegrable line 19
  5. lemma OAI.CubicFirstMoment.mellinHeightKernel_zero line 25
  6. lemma OAI.CubicFirstMoment.norm_mellinHeightKernel_le_one line 33
  7. lemma OAI.CubicFirstMoment.mellinHeightKernel_formula line 43
  8. lemma OAI.CubicFirstMoment.norm_mellinHeightKernel_decay line 49
  9. lemma OAI.CubicFirstMoment.normTwist_height_correlation line 61
  10. lemma OAI.CubicFirstMoment.averaged_normTwist_correlation line 74