OAI/NumberTheory/CubicMoment/Theta/CubicThetaScatteringRegular.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

In Re(s)>1 the explicit scattering coefficient has no possible pole except s=4/3. The denominator is controlled by its convergent Euler product.

  1. lemma OAI.CubicFirstMoment.cubicTheta_principalZeta_right_ne_zero line 10
  2. lemma OAI.CubicFirstMoment.cubicThetaScattering_local_denominator line 15
  3. theorem OAI.CubicFirstMoment.cubicThetaConstantContinuation_regular line 29