OAI/NumberTheory/DirichletL/Moments/Correlation.lean

GitHub source file

24 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.SevenEighths.CenteredMomentCorrelation.fourierSum line 15
  2. def OAI.SevenEighths.CenteredMomentCorrelation.fullCorrelation line 18
  3. theorem OAI.SevenEighths.CenteredMomentCorrelation.fullCorrelation_swap line 23
  4. theorem OAI.SevenEighths.CenteredMomentCorrelation.fullCorrelation_fourier line 39
  5. def OAI.SevenEighths.CenteredMomentCorrelation.shiftCorrelation line 77
  6. lemma OAI.SevenEighths.CenteredMomentCorrelation.character_mul_star line 80
  7. theorem OAI.SevenEighths.CenteredMomentCorrelation.shiftCorrelation_scale line 85
  8. theorem OAI.SevenEighths.CenteredMomentCorrelation.shiftCorrelation_one line 99
  9. theorem OAI.SevenEighths.CenteredMomentCorrelation.shiftCorrelation_zero line 107
  10. theorem OAI.SevenEighths.CenteredMomentCorrelation.shiftCorrelation_nonprincipal line 115
  11. theorem OAI.SevenEighths.CenteredMomentCorrelation.shiftCorrelation_principal line 120
  12. def OAI.SevenEighths.CenteredMomentCorrelation.localCorrelation line 125
  13. theorem OAI.SevenEighths.CenteredMomentCorrelation.localCorrelation_eq_shift line 128
  14. theorem OAI.SevenEighths.CenteredMomentCorrelation.localCorrelation_units line 148
  15. lemma OAI.SevenEighths.CenteredMomentCorrelation.character_sum line 160
  16. theorem OAI.SevenEighths.CenteredMomentCorrelation.localCorrelation_first_zero line 169
  17. theorem OAI.SevenEighths.CenteredMomentCorrelation.localCorrelation_second_zero line 189
  18. def OAI.SevenEighths.CenteredMomentCorrelation.reductionMultiplicity line 213
  19. theorem OAI.SevenEighths.CenteredMomentCorrelation.sum_reduction line 216
  20. theorem OAI.SevenEighths.CenteredMomentCorrelation.reductionMultiplicity_mul_card line 233
  21. theorem OAI.SevenEighths.CenteredMomentCorrelation.reductionMultiplicity_eq_pow line 239
  22. theorem OAI.SevenEighths.CenteredMomentCorrelation.fullCorrelation_unit_right line 247
  23. theorem OAI.SevenEighths.CenteredMomentCorrelation.fullCorrelation_reduction_unit_right line 262
  24. theorem OAI.SevenEighths.CenteredMomentCorrelation.fullCorrelation_reduction_unit_left line 278