OAI/NumberTheory/CubicMoment/Theta/CubicThetaInvertedResidue.lean

GitHub source file

8 declarations, 0 contain sorry, 0 declared as axioms

The inverted-cusp scalar coefficient has the same residue as the principal cusp. This assertion concerns scalar scattering coefficients; it does not identify the nonconstant automorphic residues.

  1. def OAI.CubicFirstMoment.cubicThetaInvertedScatteringFactor line 13
  2. lemma OAI.CubicFirstMoment.cubicThetaInvertedScatteringFactor_analytic line 16
  3. lemma OAI.CubicFirstMoment.cubicThetaInvertedScatteringFactor_pole line 23
  4. theorem OAI.CubicFirstMoment.cubicThetaInvertedConstantContinuation_factor line 27
  5. def OAI.CubicFirstMoment.cubicThetaInvertedConstantRegular line 41
  6. lemma OAI.CubicFirstMoment.cubicThetaInvertedConstantRegular_analyticAt line 44
  7. lemma OAI.CubicFirstMoment.cubicThetaInvertedConstantRegular_eq line 48
  8. theorem OAI.CubicFirstMoment.cubicThetaInvertedConstantContinuation_residue line 55