OAI/NumberTheory/CubicMoment/Transform/MetaplecticCompletedSeries.lean

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7 declarations, 0 contain sorry, 0 declared as axioms

The Dirichlet series of the literal cubic completion. Absolute convergence justifies its factorization into the Gauss series and the coprimality Euler factor, with the exact shift 3*s-1/2.

  1. def OAI.CubicFirstMoment.metaplecticCompletedSeries line 15
  2. lemma OAI.CubicFirstMoment.completed_series_weight line 22
  3. lemma OAI.CubicFirstMoment.primaryCoprimeZeta_norm_summable line 43
  4. lemma OAI.CubicFirstMoment.metaplecticGaussSeries_norm_summable line 54
  5. lemma OAI.CubicFirstMoment.metaplecticCompletedSeries_factor line 63
  6. lemma OAI.CubicFirstMoment.metaplecticCompletedSeries_norm_summable line 83
  7. lemma OAI.CubicFirstMoment.metaplectic_completed_mellin line 106