OAI/NumberTheory/CubicMoment/Theta/CubicThetaArithmeticPlane.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

The normalized arithmetic expansion as an actual differentiable function on the positive half-space, with its proved inversion law.

  1. def OAI.CubicFirstMoment.cubicThetaArithmeticPlane line 12
  2. lemma OAI.CubicFirstMoment.cubicThetaArithmeticPlane_section line 16
  3. theorem OAI.CubicFirstMoment.cubicThetaArithmeticPlane_differentiableAt line 20
  4. theorem OAI.CubicFirstMoment.cubicThetaArithmeticPlane_inversion line 32
  5. theorem OAI.CubicFirstMoment.cubicThetaArithmeticPlane_horizontal_reciprocity line 42