OAI/NumberTheory/Ostmann/Characters/CharacterTargetCenters.lean

GitHub source file

5 declarations, 0 contain sorry, 0 declared as axioms

The actual backwards targets give the copied block's exact center

  1. def OAI.Ostmann.characterLogCenter line 10
  2. def OAI.Ostmann.characterPivotTarget line 18
  3. theorem OAI.Ostmann.sum_drop_eq_sum_later line 22
  4. theorem OAI.Ostmann.characterPivotTarget_future line 46
  5. theorem OAI.Ostmann.character_H_target_center line 53

    Source documentation

    This is the equality log H = T_j + Delta_j used by the transfer. It follows from the constructed backwards targets, not a range assumption.

    theorem character_H_target_center {k n : ℕ} (hn : n < k) (J B z m F : ℝ)
        (a : Fin k → Bool → ℝ) :
        let Δ := fun j : Fin k => characterPivotGap B z m j.val
    …

    Mentions: OAI.Ostmann.characterPivotGap