OAI/NumberTheory/CubicMoment/Estimates/RieszConstant.lean

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The exact numerical constant in the cubic Riesz integral.

  1. lemma OAI.CubicFirstMoment.Gamma_third_mul_two_thirds line 11
  2. lemma OAI.CubicFirstMoment.cStar_sq line 19
  3. theorem OAI.CubicFirstMoment.cubic_riesz_constant line 28

    Source documentation

    Includes the cubing multiplicity, trace-pairing dilation, and the covolume-normalized planar measure.

    theorem cubic_riesz_constant :
        (1/3:ℝ)*(2/Real.sqrt 3)*Real.pi*(2*Real.pi)^(-(2/3:ℝ))*
          Real.Gamma (1/3:ℝ)/Real.Gamma (2/3:ℝ) = cStar^2 := by
    …

    Mentions: OAI.CubicFirstMoment.cStar

  4. lemma OAI.CubicFirstMoment.cubic_riesz_gaussian_constant line 47