OAI/NumberTheory/TwoPoint/Bounds/CoprimeExceptionDensity.lean

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7 declarations, 0 contain sorry, 0 declared as axioms

The finite coprimality-exception count used when extracting a fixed divisor from two multiplicative functions. No independence between the two residue conditions is assumed.

  1. def OAI.TwoPointCorrelations.shiftedDivisorCount line 16
  2. lemma OAI.TwoPointCorrelations.shiftedDivisorCount_eq_residueCount line 19
  3. lemma OAI.TwoPointCorrelations.shiftedDivisorCount_le line 24
  4. def OAI.TwoPointCorrelations.coprimeExceptionCount line 31
  5. lemma OAI.TwoPointCorrelations.coprimeExceptionCount_le_divisorCounts line 34
  6. theorem OAI.TwoPointCorrelations.coprimeExceptionCount_bound line 74
  7. theorem OAI.TwoPointCorrelations.coprimeExceptionDensity_bound line 93