OAI/NumberTheory/JointDickman/Amplification/MajorArcPartition.lean

GitHub source file

10 declarations, 0 contain sorry, 0 declared as axioms

The measurable major-arc partition of the exact Fourier integral

  1. def OAI.JointDickman.majorArcRegion line 12
  2. def OAI.JointDickman.rationalArcPiece line 15
  3. theorem OAI.JointDickman.majorArcRegion_eq_iUnion line 19
  4. theorem OAI.JointDickman.rationalArcPiece_measurable line 25
  5. theorem OAI.JointDickman.majorArcRegion_measurable line 36
  6. theorem OAI.JointDickman.majorMinor_partition line 41
  7. theorem OAI.JointDickman.majorMinor_disjoint line 47
  8. theorem OAI.JointDickman.majorMinor_integral line 53
  9. theorem OAI.JointDickman.rationalArcPiece_pairwise line 62
  10. theorem OAI.JointDickman.majorArc_integral_sum line 72