On Salem numbers, expansive polynomials and Stieltjes continued fractions
C Guichard, JL Verger-Gaugry - Journal de théorie des nombres de …, 2015 - numdam.org
Dans cet article on montre que pour tout polynôme T, de degré m≥ 4, à racines simples
sans racine dans {±1}, qui est soit de Salem soit cyclotomique, il existe un polynôme …
sans racine dans {±1}, qui est soit de Salem soit cyclotomique, il existe un polynôme …
Characterization of expansive polynomials by special determinants
MJ Uray - arXiv preprint arXiv:1910.13702, 2019 - arxiv.org
A polynomial is expansive if all of its roots lie outside the unit circle. We define some special
determinants involving the coefficients of a real polynomial and formulate necessary and …
determinants involving the coefficients of a real polynomial and formulate necessary and …
Characterization of semi-CNS polynomials
H Brunotte - Acta Mathematica Academiae Paedagogicae …, 2012 - real.mtak.hu
Semi-CNS polynomials are monic polynomials with integer coefficients which are related to
natural generalizations of the classical decimal representation of the rational integers to …
natural generalizations of the classical decimal representation of the rational integers to …
On canonical representatives of small integers
H Brunotte - Acta Mathematica Academiae Paedagogicae …, 2014 - real.mtak.hu
Some elementary facts on canonical representations of small rational integers are listed and
a reformulation of a characterization of a certain class of CNS polynomials is presented …
a reformulation of a characterization of a certain class of CNS polynomials is presented …