Add to ORKGThe paper gives a new proof and improvement for the irreducibility of the reduction of a polynomial. The method is new and based on p-adic analytic continuation
International audienceLet t be an integer ≥ 3 such that t ≡ 1 mod 4. The absolute irreducibility of ...
A well-known result of Ehrenfeucht states that a difference polynomial f(X)-g(Y) in two variables X,...
AbstractA difference polynomial is one of the form P(x, y) = p(x) − q(y). Another proof is given of ...
The paper gives a new proof and improvement for the irreducibility of the reduction of a polynomial....
AbstractWe consider absolutely irreducible polynomialsf∈Z[x, y] with degxf=m, degyf=n, and heightH. ...
Abstract. Ostrowski established in 1919 that an absolutely irreducible integral polynomial remains a...
In this note, we show that, for any f ∈ Z[x] and any prime number p, there exists g ∈ Z[x] for which...
AbstractWe characterize the polynomials P(X, Y) that are irreducible over a number field K and such ...
In this note, we show that, for any f∈ℤx and any prime number p, there exists g∈ℤx for which the pol...
text, Dummit and Foote include the following remark [4, p. 310]: Unfortunately, there are examples o...
A multivariable polynomial is associated with a polytope, called its Newton polytope. A polynomial i...
AbstractOstrowski established in 1919 that an absolutely irreducible integral polynomial remains abs...
We prove an irreducibility criterion for polynomials with power series coefficients generalizing pre...
AbstractIt is shown that an absolutely irreducible homogeneous cubic polynomialf∈Z[x0, x1, x2] is al...
Some generalizations of the classical Eisenstein and Schönemann Irreducibility Criteria and their ap...
International audienceLet t be an integer ≥ 3 such that t ≡ 1 mod 4. The absolute irreducibility of ...
A well-known result of Ehrenfeucht states that a difference polynomial f(X)-g(Y) in two variables X,...
AbstractA difference polynomial is one of the form P(x, y) = p(x) − q(y). Another proof is given of ...
The paper gives a new proof and improvement for the irreducibility of the reduction of a polynomial....
AbstractWe consider absolutely irreducible polynomialsf∈Z[x, y] with degxf=m, degyf=n, and heightH. ...
Abstract. Ostrowski established in 1919 that an absolutely irreducible integral polynomial remains a...
In this note, we show that, for any f ∈ Z[x] and any prime number p, there exists g ∈ Z[x] for which...
AbstractWe characterize the polynomials P(X, Y) that are irreducible over a number field K and such ...
In this note, we show that, for any f∈ℤx and any prime number p, there exists g∈ℤx for which the pol...
text, Dummit and Foote include the following remark [4, p. 310]: Unfortunately, there are examples o...
A multivariable polynomial is associated with a polytope, called its Newton polytope. A polynomial i...
AbstractOstrowski established in 1919 that an absolutely irreducible integral polynomial remains abs...
We prove an irreducibility criterion for polynomials with power series coefficients generalizing pre...
AbstractIt is shown that an absolutely irreducible homogeneous cubic polynomialf∈Z[x0, x1, x2] is al...
Some generalizations of the classical Eisenstein and Schönemann Irreducibility Criteria and their ap...
International audienceLet t be an integer ≥ 3 such that t ≡ 1 mod 4. The absolute irreducibility of ...
A well-known result of Ehrenfeucht states that a difference polynomial f(X)-g(Y) in two variables X,...
AbstractA difference polynomial is one of the form P(x, y) = p(x) − q(y). Another proof is given of ...