OAI/NumberTheory/CubicMoment/Theta/CubicThetaRadialMainConstant.lean
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.
- lemma
OAI.CubicFirstMoment.cubicThetaRadial_uncompletion_poleline 10 - lemma
OAI.CubicFirstMoment.cubicThetaRadial_level_pole_powerline 27 - lemma
OAI.CubicFirstMoment.cubicThetaSeriesConstant_mul_baseline 41 - lemma
OAI.CubicFirstMoment.cubicThetaRadial_scale_poleline 46 - lemma
OAI.CubicFirstMoment.cubicThetaRadial_real_mainline 55 - theorem
OAI.CubicFirstMoment.cubicThetaActualCompletedRadialMain_mul_baseline 76Source 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