On Krasner's Criteria for the First Case of Fermat's Last Theorem.
On Krasnér's theorem for the first case of Fermat's last theorem
On k-triad sequences.
On Kurepa's problems in number theory.
On Legendre numbers.
On Legendre numbers of the second kind.
On limit points of subsequences of uniformly distributed sequences
Given a subsequence of a uniformly distributed sequence, relations between the asymptotic densities of sets of its indices and the Lebesgue measure of the set of all its limit points are studied.
On linear difference equations over rings and modules.
On linear differential equations involving a para-Grassmann variable.
On linear recurrence relations satisfied by Pisot sequences
On linear recurrence relations satisfied by Pisot sequences - Addenda and errata
On low-complexity bi-infinite words and their factors
In this paper we study bi-infinite words on two letters. We say that such a word has stiffness if the number of different subwords of length equals for all sufficiently large. The word is called -balanced if the numbers of occurrences of the symbol a in any two subwords of the same length differ by at most . In the present paper we give a complete description of the class of bi-infinite words of stiffness and show that the number of subwords of length from this class has growth order...
On Lucas and Lehmer sequences and their applications to Diophantine equations
On Lucas pseudoprimes of the form in arithmetic progression with a prescribed value of the Jacobi symbol
On m times covering systems of congruences
On monochromatic sets of integers whose diameters form a monotone sequence.
On monochromatic solutions of equations in groups.
On monochromatic subsets of a rectangular grid.
On mth order Bernoulli polynomials of degree m that are Eisenstein
This paper deals with the irreducibility of the mth order Bernoulli polynomials of degree m. As m tends to infinity, Eisenstein's criterion is shown to imply irreducibility for asymptotically > 1/5 of these polynomials.
On multiple generalized -Genocchi polynomials and their applications.