OAI/NumberTheory/JointDickman/Arithmetic/RepeatedPrimeDensity.lean

GitHub source file

7 declarations, 0 contain sorry, 0 declared as axioms

Repeated large prime factors have vanishing density

This removes prime multiplicities when proving the finite-bin distribution input from finite prime-divisor expansions.

  1. def OAI.JointDickman.repeatedPrimeExceptions line 15
  2. theorem OAI.JointDickman.repeatedPrimeExceptions_card_le line 19
  3. theorem OAI.JointDickman.repeatedPrimeExceptions_bound line 32
  4. def OAI.JointDickman.distinctBinCount line 50
  5. theorem OAI.JointDickman.binCount_eq_distinct_of_no_squares line 54
  6. def OAI.JointDickman.allLargeBinPrimes line 71
  7. theorem OAI.JointDickman.repeatedLargeBinPrimes_tendsto_zero line 75