OAI/NumberTheory/CubicGauss/LatticePoisson.lean

GitHub source file

17 declarations, 0 contain sorry, 0 declared as axioms

Eisenstein lattice coordinates, dual trace phases and Gaussian Poisson summation.

  1. def OAI.CubicFirstMoment.HeckeTheta.latticeEquiv line 15
  2. lemma OAI.CubicFirstMoment.HeckeTheta.latticeEquiv_apply line 20
  3. lemma OAI.CubicFirstMoment.HeckeTheta.translated_coordinates_norm line 22
  4. lemma OAI.CubicFirstMoment.HeckeTheta.lattice_gaussian_summable line 33
  5. def OAI.CubicFirstMoment.HeckeTheta.lambda line 44
  6. lemma OAI.CubicFirstMoment.HeckeTheta.lambda_eq line 46
  7. lemma OAI.CubicFirstMoment.HeckeTheta.lambda_sq line 52
  8. lemma OAI.CubicFirstMoment.HeckeTheta.trace_div_lambda_coordinates line 56
  9. def OAI.CubicFirstMoment.HeckeTheta.tracePhase line 68
  10. lemma OAI.CubicFirstMoment.HeckeTheta.norm_tracePhase line 71
  11. lemma OAI.CubicFirstMoment.HeckeTheta.dual_phase line 77
  12. def OAI.CubicFirstMoment.HeckeTheta.dualEquiv line 96
  13. lemma OAI.CubicFirstMoment.HeckeTheta.dualEquiv_apply line 105
  14. lemma OAI.CubicFirstMoment.HeckeTheta.dual_norm line 107
  15. lemma OAI.CubicFirstMoment.HeckeTheta.lattice_gaussian_phase_summable line 113
  16. lemma OAI.CubicFirstMoment.HeckeTheta.lattice_gaussian_poisson_coords line 122
  17. theorem OAI.CubicFirstMoment.HeckeTheta.lattice_gaussian_poisson line 165