OAI/NumberTheory/PrimePackets/IdealClasses.lean

GitHub source file

38 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.PrimeDegreePackets.HeckeMellin.unitIntegralIdeal line 135
  2. lemma OAI.PrimeDegreePackets.HeckeMellin.integralFractionalIdeals_absNorm_eq_one_iff line 138
  3. theorem OAI.PrimeDegreePackets.HeckeMellin.idealClassDirichlet_tendsto_atTop line 160
  4. lemma OAI.PrimeDegreePackets.HeckeMellin.idealClassDirichlet_eventually_ne_zero line 200
  5. lemma OAI.PrimeDegreePackets.HeckeMellin.entireIdealClassL_ne_zero line 208
  6. theorem OAI.PrimeDegreePackets.HeckeMellin.nonprincipalHeckeL_finite_nonnegative_order line 226
  7. def OAI.PrimeDegreePackets.HeckeMellin.idealClassLFunction line 249
  8. lemma OAI.PrimeDegreePackets.HeckeMellin.idealClassLFunction_entire line 255
  9. theorem OAI.PrimeDegreePackets.HeckeMellin.idealClassLFunction_eq line 269
  10. lemma OAI.PrimeDegreePackets.HeckeMellin.idealClassLFunction_tendsto_atTop line 282
  11. lemma OAI.PrimeDegreePackets.HeckeMellin.idealClassLFunction_ne_zero line 293
  12. theorem OAI.PrimeDegreePackets.HeckeMellin.idealClassLFunction_finite_nonnegative_order line 303
  13. def OAI.PrimeDegreePackets.HeckeMellin.conjugateClassCharacter line 325
  14. lemma OAI.PrimeDegreePackets.HeckeMellin.conjugateClassCharacter_apply line 329
  15. lemma OAI.PrimeDegreePackets.HeckeMellin.conjugateClassCharacter_conjugate line 333
  16. lemma OAI.PrimeDegreePackets.HeckeMellin.conjugateClassCharacter_ne_one line 339
  17. lemma OAI.PrimeDegreePackets.HeckeMellin.idealClassDirichlet_conj_real line 347
  18. theorem OAI.PrimeDegreePackets.HeckeMellin.idealClassLFunction_conjugation line 362
  19. lemma OAI.PrimeDegreePackets.HeckeMellin.idealClassLFunction_real_zero_conjugate line 382
  20. def OAI.PrimeDegreePackets.cosetFixedVector line 399
  21. lemma OAI.PrimeDegreePackets.cosetFixedVector_mk line 409
  22. lemma OAI.PrimeDegreePackets.cosetFixedVector_smul line 413
  23. def OAI.PrimeDegreePackets.cosetFixedIntertwiner line 423
  24. lemma OAI.PrimeDegreePackets.cosetFixedIntertwiner_single line 435
  25. def OAI.PrimeDegreePackets.cosetIntertwinerEvaluation line 443
  26. def OAI.PrimeDegreePackets.cosetIntertwinerEquivInvariants line 458
  27. theorem OAI.PrimeDegreePackets.coset_character_multiplicity line 488
  28. lemma OAI.PrimeDegreePackets.virtual_characterPair_cosets line 505
  29. theorem OAI.PrimeDegreePackets.heilbronn_principal_of_coset_pairing line 521
  30. def OAI.PrimeDegreePackets.ThetaConstruction.cosetLatticeTheta line 545
  31. lemma OAI.PrimeDegreePackets.ThetaConstruction.cosetLatticeTheta_summable line 550
  32. lemma OAI.PrimeDegreePackets.ThetaConstruction.cosetPhase_norm line 560
  33. lemma OAI.PrimeDegreePackets.ThetaConstruction.twistedDualGaussian_summable line 565
  34. theorem OAI.PrimeDegreePackets.ThetaConstruction.cosetLatticeTheta_poisson line 576
  35. def OAI.PrimeDegreePackets.ThetaConstruction.congruenceTheta line 597
  36. def OAI.PrimeDegreePackets.ThetaConstruction.congruenceThetaFourierWeight line 603
  37. lemma OAI.PrimeDegreePackets.ThetaConstruction.congruenceThetaFourierWeight_zero line 607
  38. theorem OAI.PrimeDegreePackets.ThetaConstruction.congruenceTheta_poisson line 614