OAI/NumberTheory/CubicMoment/Theta/CubicThetaRadialMainConstant.lean

GitHub source file

6 declarations, 0 contain sorry, 0 declared as axioms

Exact comparison of the constructed radial residue with the printed main-term constant. The remaining arithmetic normalization is explicit.

  1. lemma OAI.CubicFirstMoment.cubicThetaRadial_uncompletion_pole line 10
  2. lemma OAI.CubicFirstMoment.cubicThetaRadial_level_pole_power line 27
  3. lemma OAI.CubicFirstMoment.cubicThetaSeriesConstant_mul_base line 41
  4. lemma OAI.CubicFirstMoment.cubicThetaRadial_scale_pole line 46
  5. lemma OAI.CubicFirstMoment.cubicThetaRadial_real_main line 55
  6. theorem OAI.CubicFirstMoment.cubicThetaActualCompletedRadialMain_mul_base line 76

    Source documentation

    This comparison isolates the exact outstanding normalization: the constructed main term times the conjugate base scalar is the printed one.

    theorem cubicThetaActualCompletedRadialMain_mul_base {r : Eisenstein} (hr : primary r)
        (W : ℝ→ℂ) {X : ℝ} (hX : 0<X) :
        cubicThetaActualCompletedRadialMain r W X*star cubicThetaArithmeticBaseScalar=
          metaplecticMain r 0 W X := by
    …

    Mentions: OAI.CubicFirstMoment.Eisenstein, OAI.CubicFirstMoment.primary, OAI.CubicFirstMoment.cubicThetaActualCompletedRadialMain, OAI.CubicFirstMoment.cubicThetaArithmeticBaseScalar, OAI.CubicFirstMoment.metaplecticMain