OAI/NumberTheory/JointDickman/Probability/ResidueHilbert.lean

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7 declarations, 0 contain sorry, 0 declared as axioms

The finite Hilbert estimates for residue profiles

Only uniform finite residue means are needed for the profile-preservation argument. Their compatible refinements replace an explicit construction of Haar measure on the profinite integers.

  1. def OAI.JointDickman.residueEnergy line 15
  2. def OAI.JointDickman.residueLift line 18
  3. theorem OAI.JointDickman.residueEnergy_nonneg line 21
  4. theorem OAI.JointDickman.residueMean_lift line 24
  5. theorem OAI.JointDickman.residueEnergy_lift line 35
  6. theorem OAI.JointDickman.residueMean_mul_norm_sq line 40
  7. theorem OAI.JointDickman.residueMean_mul_norm_le line 53