Overdetermined Strata in General Families of Polynomials
2000 Mathematics Subject Classification: 12D10.In the paper we give different examples of overdetermined strata.
Polynomial cycles in algebraic number fields
Polynomials of the eigenvalues and powers of matrices
Problème donné au concours général en 1874
Proof of the existence of certain triples of polynomials
Quasi-Fibonacci numbers of order 11.
Refining some inequalities.
Remark On Some Results Of S. Prešić And S. Zervos
Root arrangements of hyperbolic polynomial-like functions.
A real polynomial P of degree n in one real variable is hyperbolic if its roots are all real. A real-valued function P is called a hyperbolic polynomial-like function (HPLF) of degree n if it has n real zeros and P(n) vanishes nowhere. Denote by xk(i) the roots of P(i), k = 1, ..., n-i, i = 0, ..., n-1. Then in the absence of any equality of the formxi(j) = xk(i) (1)one has∀i < j xk(i) < xk(j) < xk+j-i(i) (2)(the Rolle theorem). For n ≥ 4 (resp....
Simples remarques sur les racines entières des équations cubiques
Simples remarques sur les racines entières des équations cubiques
Some remarks on the -stability for families of polynomials
Some theorems on generalized polars with arbitrary weight.
Some topological and geometric properties of pseudozero set.
Spécialisation de la suite de Sturm
Spécialisation de la suite de Sturm et sous-résultants (I)
Stabilité algébrique et topologies hilbertiennes
Sur la composition des polynômes
Sur le calcul des racines des polynômes
Sur l'équation du troisième degré