OAI/NumberTheory/CubicMoment/Theta/CubicThetaShiftedLattice.lean

GitHub source file

9 declarations, 0 contain sorry, 0 declared as axioms

Put the translated-cusp coefficients on the common lambda^-4 lattice. The congruence restriction forces the apparent larger lattice to collapse.

  1. lemma OAI.CubicFirstMoment.cubicThetaShifted_support_lambda line 12
  2. lemma OAI.CubicFirstMoment.cubicThetaShifted_support_cancel line 19
  3. lemma OAI.CubicFirstMoment.cubicThetaShiftedFrequency_common line 34
  4. def OAI.CubicFirstMoment.cubicThetaShiftedLatticeCoefficient line 43

    Source documentation

    The actual translated-cusp coefficient, with the single global residue scalar removed. This is derived, not postulated as a new theta family.

    def cubicThetaShiftedLatticeCoefficient (n : ℤ) (k : Eisenstein) : ℂ :=
…

    Mentions: OAI.CubicFirstMoment.Eisenstein

  5. lemma OAI.CubicFirstMoment.cubicThetaShiftedLatticeCoefficient_bound line 46
  6. lemma OAI.CubicFirstMoment.cubicThetaShiftedNormalizedCoefficient_common line 56
  7. lemma OAI.CubicFirstMoment.cubicThetaShiftedModelTerm_support line 64
  8. lemma OAI.CubicFirstMoment.cubicThetaShiftedModelTerm_common line 81
  9. theorem OAI.CubicFirstMoment.cubicThetaShiftedModelSeries_common line 97