OAI/NumberTheory/CubicMoment/Theta/CubicThetaKubotaAlternative.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

The alternative (b/d) expression for the actual cubic Kubota multiplier on the principal congruence group.

  1. lemma OAI.CubicFirstMoment.cubicThetaPrincipalGroup_offDiagonal line 12
  2. lemma OAI.CubicFirstMoment.cubicThetaPrincipalGroup_det line 24
  3. lemma OAI.CubicFirstMoment.cubicThetaKubota_column_switch line 28
  4. theorem OAI.CubicFirstMoment.cubicThetaKubotaValue_alternative line 57

    Source documentation

    DR v3 (5.5), derived from the supplementary laws and determinant.

    theorem cubicThetaKubotaValue_alternative (g : cubicThetaPrincipalGroup) :
        cubicThetaKubotaValue g =
          if g.val 1 0 = 0 then 1 else cubicSymbol (g.val 1 1) (g.val 0 1) := by
    …

    Mentions: OAI.CubicFirstMoment.cubicThetaPrincipalGroup, OAI.CubicFirstMoment.cubicThetaKubotaValue, OAI.CubicFirstMoment.cubicSymbol