OAI/NumberTheory/CubicMoment/Estimates/CubicNumeratorCharacter.lean

GitHub source file

12 declarations, 0 contain sorry, 0 declared as axioms

The finite numerator character needed for arbitrary v in the exceptional moments. The only conditional input here is the periodicity consequence of cubic reciprocity and the unit/ramified supplementary laws: Dunn–Radziwiłł (2024), equations (1.4)–(1.5).

  1. def OAI.CubicFirstMoment.CubicSupplementaryPeriodicity line 15

    Source documentation

    Cubic reciprocity plus its supplementary laws, specialized to periodicity of the actual cubic symbol on primary denominators.

    def CubicSupplementaryPeriodicity : Prop :=
…
  2. def OAI.CubicFirstMoment.cubicNumeratorLift line 19
  3. lemma OAI.CubicFirstMoment.cubicNumeratorLift_primary line 23
  4. lemma OAI.CubicFirstMoment.cubicNumeratorLift_mul line 28
  5. lemma OAI.CubicFirstMoment.cubicNumeratorLift_one line 39
  6. lemma OAI.CubicFirstMoment.cubicNumeratorLift_unit line 42
  7. lemma OAI.CubicFirstMoment.cubicNumeratorLift_congr line 47
  8. lemma OAI.CubicFirstMoment.cubicNumeratorLift_nonunit line 71
  9. def OAI.CubicFirstMoment.cubicNumeratorChar line 87
  10. lemma OAI.CubicFirstMoment.cubicNumeratorChar_mk line 104
  11. lemma OAI.CubicFirstMoment.cubicNumeratorChar_primary line 109
  12. lemma OAI.CubicFirstMoment.cubicNumeratorChar_units line 114