OAI/NumberTheory/CubicMoment/Estimates/IdealDirichletBounds.lean

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8 declarations, 0 contain sorry, 0 declared as axioms

Uniform normalization of the complete ideal series on Re(s) ≥ 2. The lower bound follows from its actual Möbius inverse.

  1. def OAI.CubicFirstMoment.idealZetaTwo line 12
  2. lemma OAI.CubicFirstMoment.idealZetaTwo_ge_one line 15
  3. lemma OAI.CubicFirstMoment.idealZetaTwo_pos line 20
  4. lemma OAI.CubicFirstMoment.idealMoebius_character_norm line 22
  5. theorem OAI.CubicFirstMoment.idealDirichlet_upper_bound line 29
  6. theorem OAI.CubicFirstMoment.idealDirichlet_inverse_lower_bound line 34
  7. theorem OAI.CubicFirstMoment.idealDirichlet_lower_bound line 46
  8. theorem OAI.CubicFirstMoment.idealDirichlet_reciprocal_bound line 53