OAI/NumberTheory/JointDickman/Arithmetic/ScaledRoughCoefficients.lean

GitHub source file

7 declarations, 0 contain sorry, 0 declared as axioms

Coefficients in the limiting prime-product density

The zeroth normalized coefficient has the stated limit, and every fixed higher coefficient vanishes. No residue-distribution assertion is assumed.

  1. def OAI.JointDickman.scaledRoughCoefficient line 17
  2. theorem OAI.JointDickman.primeNormalizer_bounds line 21
  3. theorem OAI.JointDickman.auxiliaryPrimes_prime line 34
  4. theorem OAI.JointDickman.roughCoefficient_zero_eq_leading line 38
  5. theorem OAI.JointDickman.auxiliaryRatio_mul_log line 46
  6. theorem OAI.JointDickman.scaledRoughCoefficient_zero_tendsto line 54
  7. theorem OAI.JointDickman.scaledRoughCoefficient_succ_tendsto line 76