OAI/NumberTheory/CubicMoment/Transform/MetaplecticEulerFactor.lean

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11 declarations, 0 contain sorry, 0 declared as axioms

The completed cubic Gauss series uses an actual primary coprimality Euler factor. It is identified with a complete principal ideal series and is nonzero throughout the half-plane needed for decompletion.

  1. def OAI.CubicFirstMoment.primaryCoprimeZeta line 16
  2. lemma OAI.CubicFirstMoment.primary_ideal_tsum line 19
  3. lemma OAI.CubicFirstMoment.principal_residue_at_primary line 38
  4. lemma OAI.CubicFirstMoment.principal_residue_coprime_primary line 48
  5. lemma OAI.CubicFirstMoment.primaryCoprimeZeta_eq_ideal line 60
  6. lemma OAI.CubicFirstMoment.primaryCoprimeZeta_ne_zero line 77
  7. def OAI.CubicFirstMoment.metaplecticCompletionEuler line 85
  8. lemma OAI.CubicFirstMoment.metaplecticCompletionEuler_ne_zero line 88
  9. lemma OAI.CubicFirstMoment.primaryCoprimeZeta_differentiableAt line 95
  10. lemma OAI.CubicFirstMoment.metaplecticCompletionEuler_differentiableOn line 104
  11. lemma OAI.CubicFirstMoment.metaplecticCompletionEuler_at_pole line 112