OAI/NumberTheory/DirichletL/RayOrthogonality.lean

GitHub source file

27 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.SevenEighths.RayOrthogonality.characters line 14
  2. instance OAI.SevenEighths.RayOrthogonality.(instance at line 17) line 17
  3. theorem OAI.SevenEighths.RayOrthogonality.mem_characters_iff line 19
  4. theorem OAI.SevenEighths.RayOrthogonality.card_characters line 23
  5. theorem OAI.SevenEighths.RayOrthogonality.exists_character_ne_one line 28
  6. theorem OAI.SevenEighths.RayOrthogonality.sum_characters_unit line 39
  7. def OAI.SevenEighths.RayOrthogonality.inUnitSubgroup line 56
  8. theorem OAI.SevenEighths.RayOrthogonality.sum_characters line 59
  9. theorem OAI.SevenEighths.RayOrthogonality.ray_card_pos line 76
  10. theorem OAI.SevenEighths.RayOrthogonality.average_characters line 79
  11. def OAI.SevenEighths.RayOrthogonality.globalUnits line 92
  12. abbrev OAI.SevenEighths.RayOrthogonality.rayCharacters line 95
  13. theorem OAI.SevenEighths.RayOrthogonality.mem_rayCharacters_iff line 97
  14. def OAI.SevenEighths.RayOrthogonality.principalResidue line 107
  15. theorem OAI.SevenEighths.RayOrthogonality.inUnitSubgroup_globalUnits_iff line 111
  16. abbrev OAI.SevenEighths.RayOrthogonality.rayCard line 119
  17. theorem OAI.SevenEighths.RayOrthogonality.rayCard_pos line 121
  18. theorem OAI.SevenEighths.RayOrthogonality.sum_rayCharacters line 123
  19. theorem OAI.SevenEighths.RayOrthogonality.average_rayCharacters line 128
  20. def OAI.SevenEighths.RayOrthogonality.idealCharacter line 136
  21. def OAI.SevenEighths.RayOrthogonality.principalIdeals line 139
  22. theorem OAI.SevenEighths.RayOrthogonality.principalIdeals_iff_generator line 144
  23. theorem OAI.SevenEighths.RayOrthogonality.principalIdeals_iff_congruent_one line 164
  24. theorem OAI.SevenEighths.RayOrthogonality.norm_idealCharacter_le_one line 181
  25. theorem OAI.SevenEighths.RayOrthogonality.idealCharacter_one line 184
  26. theorem OAI.SevenEighths.RayOrthogonality.sum_idealCharacters line 189
  27. theorem OAI.SevenEighths.RayOrthogonality.average_idealCharacters line 200