OAI/NumberTheory/CubicMoment/Transform/MetaplecticContinuationProof.lean

GitHub source file

9 declarations, 0 contain sorry, 0 declared as axioms

Construction of the Gauss-series continuation from the published Voronoi identity. Nonzero local Mellin tests glue the regular part; the actual Euler factor is then removed.

  1. def OAI.CubicFirstMoment.metaplecticChosenTest line 13
  2. lemma OAI.CubicFirstMoment.metaplecticChosenTest_spec line 15
  3. def OAI.CubicFirstMoment.metaplecticRegularContinuation line 20
  4. lemma OAI.CubicFirstMoment.metaplecticRegularContinuation_eq_test line 23
  5. lemma OAI.CubicFirstMoment.metaplecticRegularContinuation_differentiableOn line 34
  6. lemma OAI.CubicFirstMoment.metaplecticRegularContinuation_right line 54
  7. def OAI.CubicFirstMoment.metaplecticFullContinuation line 64
  8. def OAI.CubicFirstMoment.metaplecticCanonicalGauss line 67
  9. theorem OAI.CubicFirstMoment.metaplecticContinuation_of_voronoi line 70