Add to ORKGIt has been conjectured by Casas-Alvero that polynomials of degree n over fields of characteristic 0, share roots with each of its n-1 derivatives if and only if those polynomials have one root of degree n. In this paper, using the analytic theory of polynomials, an equivalent formulation of the Casas-Alvero Conjecture is established for polynomials over the complex plane t ogether with several special cases of it
In the first (theoretical) part of this paper, we prove a number of constraints on hypothetical coun...
AbstractThe following theorem is discussed. Let X be a compact subset of the unit sphere in Cn whose...
The fundamental theorem of algebra (FTA) tells us that every com-plex polynomial of degree n has pre...
Abstract. It has been conjectured by Casas-Alvero that polynomials of degree n over fields of charac...
The Casas–Alvero conjecture says that a complex univariate polynomial having roots in common with ea...
RESUMEN: Se hace en este trabajo un estudio de la Conjetura Casas-Alvero organizando su análisis con...
AbstractOver a field of characteristic zero, it is clear that a polynomial of the form (X−α)d has a ...
In this article we prove the Casas-Alvero conjecture. The conjecture says that a degree $n$ complex ...
Based on Casas-Alvero conjecture \textit{[J. Algebra, 2001]} we formulate the following conjecture.\...
AbstractLet K be a field and P∈K[X] is a polynomial of degree n, then the conjecture of Casas-Alvero...
We derive new properties of the Abel-Goncharov interpolation polynomials, relating them to investiga...
In this paper we survey work on and around the following conjecture, which was first stated about 45...
Four points in the complex plane can be the roots of a complex polynomial of degree four. Solid line...
Complex polynomial roots, devirativeIn this Demonstration there are eight locators which represent t...
AbstractThe main result of the paper states the following: Let ψ be a polynomial in n variables. Sup...
In the first (theoretical) part of this paper, we prove a number of constraints on hypothetical coun...
AbstractThe following theorem is discussed. Let X be a compact subset of the unit sphere in Cn whose...
The fundamental theorem of algebra (FTA) tells us that every com-plex polynomial of degree n has pre...
Abstract. It has been conjectured by Casas-Alvero that polynomials of degree n over fields of charac...
The Casas–Alvero conjecture says that a complex univariate polynomial having roots in common with ea...
RESUMEN: Se hace en este trabajo un estudio de la Conjetura Casas-Alvero organizando su análisis con...
AbstractOver a field of characteristic zero, it is clear that a polynomial of the form (X−α)d has a ...
In this article we prove the Casas-Alvero conjecture. The conjecture says that a degree $n$ complex ...
Based on Casas-Alvero conjecture \textit{[J. Algebra, 2001]} we formulate the following conjecture.\...
AbstractLet K be a field and P∈K[X] is a polynomial of degree n, then the conjecture of Casas-Alvero...
We derive new properties of the Abel-Goncharov interpolation polynomials, relating them to investiga...
In this paper we survey work on and around the following conjecture, which was first stated about 45...
Four points in the complex plane can be the roots of a complex polynomial of degree four. Solid line...
Complex polynomial roots, devirativeIn this Demonstration there are eight locators which represent t...
AbstractThe main result of the paper states the following: Let ψ be a polynomial in n variables. Sup...
In the first (theoretical) part of this paper, we prove a number of constraints on hypothetical coun...
AbstractThe following theorem is discussed. Let X be a compact subset of the unit sphere in Cn whose...
The fundamental theorem of algebra (FTA) tells us that every com-plex polynomial of degree n has pre...