OAI/NumberTheory/CubicMoment/Transform/MetaplecticAbel.lean

GitHub source file

11 declarations, 0 contain sorry, 0 declared as axioms

Abel continuation from a bound for the actual cumulative coefficients. This is the elementary right-strip step; no continuation identity or pointwise growth estimate is assumed as a published input.

  1. def OAI.CubicFirstMoment.abelCumulative line 14
  2. def OAI.CubicFirstMoment.abelContinuation line 17
  3. lemma OAI.CubicFirstMoment.abelCumulative_zero line 20
  4. lemma OAI.CubicFirstMoment.abelCumulative_locallyIntegrable line 25
  5. lemma OAI.CubicFirstMoment.abelCumulative_bigO line 32
  6. lemma OAI.CubicFirstMoment.abelCumulative_zero_bigO line 39
  7. lemma OAI.CubicFirstMoment.abelContinuation_differentiableOn line 45
  8. lemma OAI.CubicFirstMoment.abel_mellin_integral line 58
  9. lemma OAI.CubicFirstMoment.abelContinuation_eq_LSeries line 74
  10. lemma OAI.CubicFirstMoment.norm_abelContinuation_le line 85
  11. lemma OAI.CubicFirstMoment.analytic_eq_abelContinuation line 111