On a polynomial conjecture of Pál Turán
On a problem of Győry and Schinzel concerning polynomials
On a question of Lehmer
On a question of Lehmer and the number of irreducible factors of a polynomial
On a theorem of Bauer and some of its applications
On Alternatives of Polynomial Congruences
What should be assumed about the integral polynomials in order that the solvability of the congruence for sufficiently large primes p implies the solvability of the equation in integers x? We provide some explicit characterizations for the cases when are binomials or have cyclic splitting fields.
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 certain algebraic curves related to polynomial maps
On characters and polynomials
On cubic factors of certain trinominals.
On cyclotomic polynomials with coefficients.
On Kronecker's elimination theory.
On normal binomials
On polynomials taking small values at integral arguments
On Roots of Polynomials with Positive Coefficients
On some issues concerning polynomial cycles
We consider two issues concerning polynomial cycles. Namely, for a discrete valuation domain of positive characteristic (for ) or for any Dedekind domain of positive characteristic (but only for ), we give a closed formula for a set of all possible cycle-lengths for polynomial mappings in . Then we give a new property of sets , which refutes a kind of conjecture posed by W. Narkiewicz.
On some polynomials allegedly related to the abc conjecture
On the composite Lehmer numbers with prime indices, III
On the congruence , where q is a prime and f is a polynomial