OAI/Combinatorics/Progressions/Polynomial/AffinePhaseBias.lean

GitHub source file

13 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.Erdos3.expect_pi_product line 12
  2. def OAI.Erdos3.CircleFourier.geometricCharacterMean line 21
  3. theorem OAI.Erdos3.CircleFourier.geometricCharacterMean_eq line 24
  4. theorem OAI.Erdos3.CircleFourier.norm_geometricCharacterMean_le_one line 29
  5. theorem OAI.Erdos3.CircleFourier.integerDistance_le_of_geometric_mean line 36
  6. def OAI.Erdos3.CircleFourier.linearPhaseMean line 52
  7. theorem OAI.Erdos3.CircleFourier.linearPhaseMean_eq_product line 55
  8. theorem OAI.Erdos3.CircleFourier.geometric_mean_norm_ge_of_linear_bias line 60
  9. theorem OAI.Erdos3.CircleFourier.linear_phase_near_integers line 72
  10. theorem OAI.Erdos3.integerBox_expect_eq_fin line 92
  11. theorem OAI.Erdos3.CircleFourier.affinePhaseMean_eq line 116
  12. theorem OAI.Erdos3.CircleFourier.linearPhaseMean_norm_ge_of_affine_bias line 124
  13. theorem OAI.Erdos3.CircleFourier.affine_phase_near_integers line 133