OAI/NumberTheory/CubicMoment/Estimates/RieszConstant.lean
4 declarations, 0 contain sorry, 0 declared as axioms
The exact numerical constant in the cubic Riesz integral.
- lemma
OAI.CubicFirstMoment.Gamma_third_mul_two_thirdsline 11 - lemma
OAI.CubicFirstMoment.cStar_sqline 19 - theorem
OAI.CubicFirstMoment.cubic_riesz_constantline 28Source 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
- lemma
OAI.CubicFirstMoment.cubic_riesz_gaussian_constantline 47