The Fekete–Szegő theorem with splitting conditions: Part II


1. Introduction. A classical theorem of Fekete and Szeg˝ o ([5]) says that if E ⊆ C is a compact set with logarithmic capacity γ(E) ≥ 1, stable under complex conjugation, then every complex neighborhood of E contains infinitely many conjugate sets of algebraic integers. Raphael Robinson [10] strengthened this, showing that if E ⊆ R, then every real… (More)