Add to ORKGLet f be a polynomial in two complex variables. We say that f is nearly irreducible if any two nonconstant polynomial factors of f have a common zero in $C^{2}$. In the paper we give a criterion of nearly irreducibility for a given polynomial f in terms of its Newton diagram
In this paper, all irreducible factors of bivariate polynomials of the form f(x) - g(y) over an arbi...
: Given a polynomial f 2 k[x], k a number field, we consider bounds on the number of cyclotomic fact...
second author stated the following: Conjecture 1. Let n be an integer 2, and let f(x) =1+x+x 2 + +x ...
A multivariable polynomial is associated with a polytope, called its Newton polytope. A polynomial i...
In many mathematical investigations such as determination of degree of a field extension, determinat...
In 1956, Ehrenfeucht proved that a polynomial f <SUB>1</SUB>(x <SUB>1</SUB>) + · + f <SUB>n</SUB> (x...
Using the notion of approximate roots and that of generalized Newton sets, we give a local criterion...
In this paper, all irreducible factors of bivariate polynomials of the form f(x) - g(y) over an arbi...
A well-known result of Ehrenfeucht states that a difference polynomial f(X)-g(Y) in two variables X,...
International audienceThe class B of lacunary polynomials f (x) := −1 + x + x n + x m 1 + x m 2 +. ....
Abstract. In [3] we showed that a polynomial over a Noetherian ring is divisible by some other polyn...
Criteria for the irreducibility of a polynomial into linear factors with an application to Fermat&ap...
Some generalizations of the classical Eisenstein and Schönemann Irreducibility Criteria and their ap...
One of the fundamental tasks of Symbolic Computation is the factorization of polynomials into irredu...
This item was digitized from a paper original and/or a microfilm copy. If you need higher-resolution...
In this paper, all irreducible factors of bivariate polynomials of the form f(x) - g(y) over an arbi...
: Given a polynomial f 2 k[x], k a number field, we consider bounds on the number of cyclotomic fact...
second author stated the following: Conjecture 1. Let n be an integer 2, and let f(x) =1+x+x 2 + +x ...
A multivariable polynomial is associated with a polytope, called its Newton polytope. A polynomial i...
In many mathematical investigations such as determination of degree of a field extension, determinat...
In 1956, Ehrenfeucht proved that a polynomial f <SUB>1</SUB>(x <SUB>1</SUB>) + · + f <SUB>n</SUB> (x...
Using the notion of approximate roots and that of generalized Newton sets, we give a local criterion...
In this paper, all irreducible factors of bivariate polynomials of the form f(x) - g(y) over an arbi...
A well-known result of Ehrenfeucht states that a difference polynomial f(X)-g(Y) in two variables X,...
International audienceThe class B of lacunary polynomials f (x) := −1 + x + x n + x m 1 + x m 2 +. ....
Abstract. In [3] we showed that a polynomial over a Noetherian ring is divisible by some other polyn...
Criteria for the irreducibility of a polynomial into linear factors with an application to Fermat&ap...
Some generalizations of the classical Eisenstein and Schönemann Irreducibility Criteria and their ap...
One of the fundamental tasks of Symbolic Computation is the factorization of polynomials into irredu...
This item was digitized from a paper original and/or a microfilm copy. If you need higher-resolution...
In this paper, all irreducible factors of bivariate polynomials of the form f(x) - g(y) over an arbi...
: Given a polynomial f 2 k[x], k a number field, we consider bounds on the number of cyclotomic fact...
second author stated the following: Conjecture 1. Let n be an integer 2, and let f(x) =1+x+x 2 + +x ...