OAI/NumberTheory/DirichletL/QuadraticSieve/UnrestrictedCharacters.lean

GitHub source file

32 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.CanonicalQuadraticSieve.unrestrictedPairCharacter line 79
  2. theorem OAI.CanonicalQuadraticSieve.unrestrictedPairCharacter_span line 82
  3. theorem OAI.CanonicalQuadraticSieve.unrestrictedPairCharacter_mul line 93
  4. theorem OAI.CanonicalQuadraticSieve.unrestrictedPairCharacter_eq_primary line 104
  5. theorem OAI.CanonicalQuadraticSieve.idealGenerator_norm_sq line 117
  6. theorem OAI.CanonicalQuadraticSieve.canonical_pair_fourier_summable line 121
  7. theorem OAI.CanonicalQuadraticSieve.canonical_nonprincipal_dual_ideal_reindex line 136
  8. def OAI.CanonicalQuadraticSieve.fixedBadPrimes line 162
  9. theorem OAI.CanonicalQuadraticSieve.prime_good_iff_not_bad line 164
  10. def OAI.CanonicalQuadraticSieve.badPrimeSupport line 185
  11. def OAI.CanonicalQuadraticSieve.goodPrimeSupport line 187
  12. def OAI.CanonicalQuadraticSieve.goodSquarefreePart line 189
  13. theorem OAI.CanonicalQuadraticSieve.badPrimeSupport_subset line 191
  14. theorem OAI.CanonicalQuadraticSieve.goodSquarefreePart_admissible line 194
  15. theorem OAI.CanonicalQuadraticSieve.squarefree_bad_good_product line 205
  16. theorem OAI.CanonicalQuadraticSieve.bad_good_coprime line 218
  17. theorem OAI.CanonicalQuadraticSieve.unrestrictedPairCharacter_squarefree_bad_split line 233
  18. theorem OAI.CanonicalQuadraticSieve.fixedBadPrimes_card line 250
  19. theorem OAI.CanonicalQuadraticSieve.fixedBadPrimes_powerset_card line 258
  20. def OAI.CanonicalQuadraticSieve.badPrimeSector line 262
  21. theorem OAI.CanonicalQuadraticSieve.goodSquarefreePart_injective_on_sector line 265
  22. theorem OAI.CanonicalQuadraticSieve.goodSquarefreePart_norm_le line 273
  23. theorem OAI.CanonicalQuadraticSieve.goodSquarefreePart_mem_idealRange line 281
  24. theorem OAI.CanonicalQuadraticSieve.norm_sum_sq_eq_of_pair_gram line 292
  25. theorem OAI.CanonicalQuadraticSieve.squarefree_sector_energy_bound line 303
  26. theorem OAI.CanonicalQuadraticSieve.unrestricted_squarefree_energy_bound line 360
  27. def OAI.CanonicalQuadraticSieve.originalPairIdealDualKernel line 393
  28. theorem OAI.CanonicalQuadraticSieve.originalPairDualKernel_eq_ideal line 407
  29. theorem OAI.CanonicalQuadraticSieve.unrestrictedPairCharacter_square line 463
  30. theorem OAI.CanonicalQuadraticSieve.unrestricted_pair_squarefree_tsum line 475
  31. theorem OAI.CanonicalQuadraticSieve.canonical_nonprincipal_dual_squarefree line 491
  32. theorem OAI.JointLogSeparation.joint_separation_twisted_profiles line 514