Abstract In 1903 Mirimanoff conjectured that Cauchy"Mirimanoff polynomials E n are irreducible over â.,š for odd prime n. Polynomials R n, S n, T n are introduced, closely related to E n. It is proved that R m, S m, T m are irreducible over â.,š for
It is well known that if f(x) is a monic irreducible polynomial of degree d with coefficients in a c...
AbstractLet p be an odd prime and suppose that for some a, b, c ϵ Z\pZ we have that ap + bp + cp = 0...
AbstractWe give several families of specific irreducible polynomials with the following property: if...
This thesis investigates the Cauchy-Mirimanoff polynomials En and their close relatives Rn, Sn and T...
For an integer n \u3e 2 define Pn (X) = (X + 1)n – Xn – 1. Let En (X) be the remaining factor of P...
The Cauchy-Mirimanoff Polynomials are a class of polynomials that naturally arise in various classic...
We prove that the Cayley-Menger determinant of an n-dimensional simplex is an absolutely irreducible...
AbstractWe characterize the polynomials P(X, Y) that are irreducible over a number field K and such ...
One of the fundamental tasks of Symbolic Computation is the factorization of polynomials into irredu...
Some generalizations of the classical Eisenstein and Schönemann Irreducibility Criteria and their ap...
AbstractWe consider absolutely irreducible polynomialsf∈Z[x, y] with degxf=m, degyf=n, and heightH. ...
The paper is devoted to constructive theory of synthesis of irreducible polynomials and irreducible ...
Any irreducible polynomial f(x) in [special characters omitted][x] such that the set of values f([sp...
A Barker sequence is a finite sequence a0,..., an−1, each term ±1, for which every sum Pi aiai+k wit...
We present criteria for determining irreducibility of reciprocal polynomials over the field of ratio...
It is well known that if f(x) is a monic irreducible polynomial of degree d with coefficients in a c...
AbstractLet p be an odd prime and suppose that for some a, b, c ϵ Z\pZ we have that ap + bp + cp = 0...
AbstractWe give several families of specific irreducible polynomials with the following property: if...
This thesis investigates the Cauchy-Mirimanoff polynomials En and their close relatives Rn, Sn and T...
For an integer n \u3e 2 define Pn (X) = (X + 1)n – Xn – 1. Let En (X) be the remaining factor of P...
The Cauchy-Mirimanoff Polynomials are a class of polynomials that naturally arise in various classic...
We prove that the Cayley-Menger determinant of an n-dimensional simplex is an absolutely irreducible...
AbstractWe characterize the polynomials P(X, Y) that are irreducible over a number field K and such ...
One of the fundamental tasks of Symbolic Computation is the factorization of polynomials into irredu...
Some generalizations of the classical Eisenstein and Schönemann Irreducibility Criteria and their ap...
AbstractWe consider absolutely irreducible polynomialsf∈Z[x, y] with degxf=m, degyf=n, and heightH. ...
The paper is devoted to constructive theory of synthesis of irreducible polynomials and irreducible ...
Any irreducible polynomial f(x) in [special characters omitted][x] such that the set of values f([sp...
A Barker sequence is a finite sequence a0,..., an−1, each term ±1, for which every sum Pi aiai+k wit...
We present criteria for determining irreducibility of reciprocal polynomials over the field of ratio...
It is well known that if f(x) is a monic irreducible polynomial of degree d with coefficients in a c...
AbstractLet p be an odd prime and suppose that for some a, b, c ϵ Z\pZ we have that ap + bp + cp = 0...
AbstractWe give several families of specific irreducible polynomials with the following property: if...
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