OAI/NumberTheory/CubicMoment/Theta/CubicThetaPrimePairingL2.lean

GitHub source file

6 declarations, 0 contain sorry, 0 declared as axioms

The finite-cover integral pairing is the actual L2 inner product. Original sections are orthogonal to their prime Atkin translates.

  1. def OAI.CubicFirstMoment.cubicThetaPrimeSectionPairing line 12
  2. lemma OAI.CubicFirstMoment.cubicThetaPrimeSectionPairing_apply line 22
  3. lemma OAI.CubicFirstMoment.cubicThetaPrimeSectionPairing_continuous line 27
  4. lemma OAI.CubicFirstMoment.cubicThetaPrimeSectionPairing_L2 line 32
  5. lemma OAI.CubicFirstMoment.cubicThetaPrimeSectionPairing_unfold line 46
  6. theorem OAI.CubicFirstMoment.cubicThetaPrimeSmoothAtkin_orthogonal line 55