OAI/NumberTheory/Ostmann/QuadraticSieve/JacobiCharacter.lean

GitHub source file

7 declarations, 0 contain sorry, 0 declared as axioms

The concrete Dirichlet character with Jacobi numerator

  1. def OAI.Ostmann.jacobiResidue line 10
  2. theorem OAI.Ostmann.jacobiResidue_intCast line 12
  3. def OAI.Ostmann.jacobiCharacterInt line 20

    Source documentation

    This definition includes the modulus-one character. The nonunit values vanish by the gcd criterion for Jacobi symbols.

    noncomputable def jacobiCharacterInt (N : ℕ) [NeZero N] : DirichletCharacter ℤ N where
…
  4. theorem OAI.Ostmann.jacobiCharacterInt_intCast line 42
  5. def OAI.Ostmann.jacobiCharacter line 45
  6. theorem OAI.Ostmann.jacobiCharacter_intCast line 48
  7. theorem OAI.Ostmann.jacobiCharacter_natCast line 52