OAI/NumberTheory/CubicMoment/Theta/CubicThetaKloostermanOperator.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

The finite Kloosterman operator factors into two exact Fourier transforms and a weighted unit inversion. In particular its energy norm has the sharp finite Fourier factor, with no logarithmic loss.

  1. def OAI.CubicFirstMoment.cubicThetaFiniteKloostermanApply line 12
  2. lemma OAI.CubicFirstMoment.cubicThetaFiniteKloostermanApply_factor line 16
  3. theorem OAI.CubicFirstMoment.cubicThetaFiniteKloostermanApply_contract line 34