OAI/NumberTheory/CubicMoment/Theta/CubicThetaFactorUniqueness.lean
1 declarations, 0 contain sorry, 0 declared as axioms
Uniqueness of the primary squarefree-times-cube coordinates in the published cubic theta coefficient formulas.
- theorem
OAI.CubicFirstMoment.primary_squarefree_cube_uniqueline 13Source documentation
Primary normalization removes the cube-root unit ambiguity, and the squarefree exponent is the residue modulo three of each prime valuation.
theorem primary_squarefree_cube_unique {c d c' d' : Eisenstein} (hc : primary c) (hd : primary d) (hc' : primary c') (hd' : primary d') (hcs : Squarefree c) (hcs' : Squarefree c') (he : c*d^3 = c'*d'^3) : c = c' ∧ d = d' := by …Mentions: OAI.CubicFirstMoment.Eisenstein, OAI.CubicFirstMoment.primary