OAI/NumberTheory/CubicMoment/Estimates/SmoothNormPartition.lean

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14 declarations, 0 contain sorry, 0 declared as axioms

An explicit finite smooth partition on every bounded positive norm range. Its fixed weight is supported in [1,2], as required by the smooth short-factor estimates.

  1. def OAI.CubicFirstMoment.normPartitionStep line 14
  2. def OAI.CubicFirstMoment.normPartitionWeight line 16
  3. lemma OAI.CubicFirstMoment.normPartitionStep_zero line 19
  4. lemma OAI.CubicFirstMoment.normPartitionStep_one line 22
  5. lemma OAI.CubicFirstMoment.normPartitionWeight_low line 25
  6. lemma OAI.CubicFirstMoment.normPartitionWeight_high line 30
  7. lemma OAI.CubicFirstMoment.normPartitionWeight_norm line 35
  8. lemma OAI.CubicFirstMoment.normPartitionWeight_smooth line 48
  9. lemma OAI.CubicFirstMoment.normPartitionWeight_tsupport line 54
  10. lemma OAI.CubicFirstMoment.normPartitionWeight_compact line 63
  11. lemma OAI.CubicFirstMoment.normPartitionWeight_positive_support line 66
  12. lemma OAI.CubicFirstMoment.normPartitionWeight_telescope line 71
  13. theorem OAI.CubicFirstMoment.normPartitionWeight_partition line 85
  14. lemma OAI.CubicFirstMoment.normPartitionWeight_scale line 94