The S-measure for algebraic integers having all their conjugates in a sector
Résumé
Let α be a nonzero algebraic integer of degree d whose all conjugates α 1 = α, α 2 ,. .. , α d lie in a sector | arg z| ≤ θ, 0 < θ ≤ 90 •. We define the S-measure of α by S(α) = d i=1 |α i | and the absolute S-measure of α by s(α) = S(α)/d. We compute the greatest lower bound c(θ) of s(α) for α belonging to twelve subintervals of (0, θ). Among these subintervals, three are complete. These computations use the principle of explicit auxiliary functions and our recursive algorithm.
Origine : Fichiers produits par l'(les) auteur(s)