OAI/NumberTheory/JointDickman/Amplification/ThreeFormLocalBound.lean

GitHub source file

8 declarations, 0 contain sorry, 0 declared as axioms

Local upper bounds for b, c, and b+jc

At primes not dividing j the exact three-form mean is bounded by the cube of the single-form mean. Degenerate primes cost at most 1 + 24/p.

  1. def OAI.JointDickman.threeFormResidueMean line 15
  2. theorem OAI.JointDickman.residueWeight_nonneg line 19
  3. theorem OAI.JointDickman.residueWeight_le_one line 25
  4. theorem OAI.JointDickman.threeFormResidueMean_nonneg line 31
  5. theorem OAI.JointDickman.threeFormResidueMean_le_one line 38
  6. theorem OAI.JointDickman.threeFormResidueMean_nondegenerate line 59
  7. theorem OAI.JointDickman.one_le_cube_singular_factor line 73
  8. theorem OAI.JointDickman.threeFormResidueMean_bound line 89