AbstractGiven an irreducible polynomial P∈Z [ X ] of degree at least three and 0 ≠=a∈Z we are going to determine all those monic quadratic polynomials Q∈Z [ X ] satisfyingRes(P, Q) = a. This is the first attempt for the complete resolution of resultant type equations. We illustrate our algorithm with a detailed example
Multivariate systems of polynomial equations find their applications in various fields of science an...
AbstractIn this article, we study the residual resultant which is the necessary and sufficient condi...
For any univariate polynomial P whose coefficients lie in an ordinary differential field of charact...
AbstractGiven an irreducible polynomial P∈Z [ X ] of degree at least three and 0 ≠=a∈Z we are going ...
We present a new polynomial decomposition which generalizes the functional and homogeneous bivariate...
A resultant is a purely algebraic criterion for determining when a finite collection of polynomials...
Abstract. Let k be a field of characteristic zero and let f ∈ k[x]. The m-th cyclic resultant of f i...
AbstractThis paper deals with some ideas of Bézout and his successors Poisson, Netto and Laurent for...
AbstractWe characterize polynomials having the same set of nonzero cyclic resultants. Generically, f...
Abstract. In [3] we showed that a polynomial over a Noetherian ring is divisible by some other polyn...
AbstractWe present a new polynomial decomposition which generalizes the functional and homogeneous b...
AbstractWe create a new resultant for determining the presence and number of reciprocal zeros in a g...
AbstractLet α,β∈Fqt∗ and let Nt(α,β) denote the number of solutions (x,y)∈Fqt∗×Fqt∗ of the equation ...
Let Fqt be the finite field with qt elements and let F*qt be its multiplicative group. We study the ...
AbstractComputational methods for manipulating sets of polynomial equations are becoming of greater ...
Multivariate systems of polynomial equations find their applications in various fields of science an...
AbstractIn this article, we study the residual resultant which is the necessary and sufficient condi...
For any univariate polynomial P whose coefficients lie in an ordinary differential field of charact...
AbstractGiven an irreducible polynomial P∈Z [ X ] of degree at least three and 0 ≠=a∈Z we are going ...
We present a new polynomial decomposition which generalizes the functional and homogeneous bivariate...
A resultant is a purely algebraic criterion for determining when a finite collection of polynomials...
Abstract. Let k be a field of characteristic zero and let f ∈ k[x]. The m-th cyclic resultant of f i...
AbstractThis paper deals with some ideas of Bézout and his successors Poisson, Netto and Laurent for...
AbstractWe characterize polynomials having the same set of nonzero cyclic resultants. Generically, f...
Abstract. In [3] we showed that a polynomial over a Noetherian ring is divisible by some other polyn...
AbstractWe present a new polynomial decomposition which generalizes the functional and homogeneous b...
AbstractWe create a new resultant for determining the presence and number of reciprocal zeros in a g...
AbstractLet α,β∈Fqt∗ and let Nt(α,β) denote the number of solutions (x,y)∈Fqt∗×Fqt∗ of the equation ...
Let Fqt be the finite field with qt elements and let F*qt be its multiplicative group. We study the ...
AbstractComputational methods for manipulating sets of polynomial equations are becoming of greater ...
Multivariate systems of polynomial equations find their applications in various fields of science an...
AbstractIn this article, we study the residual resultant which is the necessary and sufficient condi...
For any univariate polynomial P whose coefficients lie in an ordinary differential field of charact...
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