OAI/NumberTheory/CubicMoment/Theta/CubicThetaKubotaAlternative.lean
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.
- lemma
OAI.CubicFirstMoment.cubicThetaPrincipalGroup_offDiagonalline 12 - lemma
OAI.CubicFirstMoment.cubicThetaPrincipalGroup_detline 24 - lemma
OAI.CubicFirstMoment.cubicThetaKubota_column_switchline 28 - theorem
OAI.CubicFirstMoment.cubicThetaKubotaValue_alternativeline 57Source 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