КЛАССИФИКАЦИЯ ЧИСТО-ВЕЩЕСТВЕННЫХ АЛГЕБРАИЧЕСКИХ ИРРАЦИОНАЛЬНОСТЕЙ
КЛАССИФИКАЦИЯ ЧИСТО-ВЕЩЕСТВЕННЫХ АЛГЕБРАИЧЕСКИХ ИРРАЦИОНАЛЬНОСТЕЙ
We study the appearance and properties of minimal residual fractions of polynomials in the decomposition of algebraic numbers into continued fractions. It is shown that for purely real algebraic irrationalities ???? of degree ???? > 2, starting from some number ????0 = ????0(????), the sequence of residual fractions ???????? is …