The weighted second-class exceptional sum #
noncomputable def
NairTenenbaum.PolynomialSystem.primePowerContribution
{k r : ℕ}
(P : PolynomialSystem k r)
(F : ArithmeticMap k)
(z : ℝ)
(a b : ℤ)
:
The arithmetic contribution of the small-prime power exceptional set.
Equations
- P.primePowerContribution F z a b = ∑ t ∈ NairTenenbaum.primePowerExceptionalSet P.R z (z ^ 3) a b, NairTenenbaum.extendArithmeticMap F fun (j : Fin k) => (Polynomial.eval t (P.Q j)).natAbs