On a decomposition of polynomials in several variables
One considers representation of a polynomial in several variables as the sum of values of univariate polynomials taken at linear combinations of the variables.
On a decomposition of polynomials in several variables, II
One considers representation of cubic polynomials in several variables as the sum of values of univariate polynomials taken at linear combinations of the variables.
On a polynomial conjecture of Pál Turán
On a problem of Dvornicich and Zannier
On a sequence of nonsolvable quintic polynomials.
On a theorem of Ritt and related Diophantine problems.
On an iterated construction of irreducible polynomials over finite fields of even characteristic by Kyuregyan
We deal with the construction of sequences of irreducible polynomials with coefficients in finite fields of even characteristic. We rely upon a transformation used by Kyuregyan in 2002, which generalizes the -transform employed previously by Varshamov and Garakov (1969) as well as by Meyn (1990) for the synthesis of irreducible polynomials. While in the iterative procedure described by Kyuregyan the coefficients of the initial polynomial of the sequence have to satisfy certain hypotheses, in the...
On approximate roots of a polynomial.
On canonical subfield preserving polynomials
Explicit monoid structure is provided for the class of canonical subfield preserving polynomials over finite fields. Some classical results and asymptotic estimates will follow as corollaries.
On Kronecker's elimination theory.
On linear dependence of roots
On normal binomials
On polynomial transformations
On polynomial transformations II
On polynomials taking small values at integral arguments II
On products of additive functions (a third approach).
On reducible trinomials [Book]
On Relations Between Zeros of Galois Polynomials.
On the congruence , where q is a prime and f is a k-normal polynomial
On the degree of an irreducible factor of the Bernoulli polynomials