OAI/NumberTheory/Ostmann/Quadratic/QuadraticSieveFinite.lean

GitHub source file

5 declarations, 0 contain sorry, 0 declared as axioms

Finite quadratic-sieve bounds and their reciprocity symmetry

These are the elementary initial steps of Heath-Brown (1995), sections 2--3. The bound predicate refers to the actual Jacobi matrix and finite coefficients.

  1. def OAI.Ostmann.QuadraticSieveBound line 18

    Source documentation

    A bound for the actual finite odd-squarefree Jacobi matrix.

    def QuadraticSieveBound (M N : ℕ) (K : ℝ) : Prop :=
…
  2. theorem OAI.Ostmann.oddSquarefreeRange_card_le line 22
  3. theorem OAI.Ostmann.quadraticSieveSum_trivial line 27
  4. theorem OAI.Ostmann.quadraticSieveBound_trivial line 56
  5. theorem OAI.Ostmann.quadraticTranspose_of_bound line 68