OAI/NumberTheory/Ostmann/Arithmetic/FrequencyBulkNorm.lean

GitHub source file

4 declarations, 0 contain sorry, 0 declared as axioms

Sharp arithmetic probability retained in the bulk frequency norm

  1. theorem OAI.Ostmann.arithmeticLeafSupport_mean_le line 11
  2. theorem OAI.Ostmann.uniform_average_norm_average_mul_le line 36
  3. theorem OAI.Ostmann.frequencyModelBulkCore_mean_le line 91

    Source documentation

    The original bulk unit law gives the product of the simultaneous quadratic-root bounds. The coefficient contains the literal data weights.

    theorem frequencyModelBulkCore_mean_le (x y : ℤ) :
        let T := fun b => buildMovingSlotData n
    …

    Mentions: OAI.Ostmann.buildMovingSlotData

  4. theorem OAI.Ostmann.frequencyModelBulkPage_mean_le line 129

    Source documentation

    Discarding the Page multiplier costs only two and preserves every frequency split saving under the original bulk law.

    theorem frequencyModelBulkPage_mean_le (input : PublishedProgressionInput)
        (Q : ℕ) (Y : ℝ) (hY : 0 ≤ Y) :
        let T := fun b => buildMovingSlotData n
    …

    Mentions: OAI.Ostmann.PublishedProgressionInput, OAI.Ostmann.buildMovingSlotData