On the congruence .
On the congruences and
On the converse of Wolstenholme's Theorem
On the correlation of families of pseudorandom sequences of k symbols
In an earlier paper Gyarmati introduced the notion of f-correlation for families of binary pseudorandom sequences as a measure of randomness in the family. In this paper we generalize the f-correlation to families of pseudorandom sequences of k symbols and study its properties.
On the difference between a D. H. Lehmer number and its inverse modulo q
On the distribution of powers in finite fields.
On the distribution of primitive roots mod p
On the divisibility of generalized central trinomial coefficients.
On the equation .
On the equation .
On the equation
On the equation .
On the Euler Function on Differences Between the Coordinates of Points on Modular Hyperbolas
For a prime p > 2, an integer a with gcd(a,p) = 1 and real 1 ≤ X,Y < p, we consider the set of points on the modular hyperbola . We give asymptotic formulas for the average values and with the Euler function φ(k) on the differences between the components of points of .
On the first case of Fermat's last theorem.
On the First Case of Fermat's Last Theorem, II.
On the heights of power digraphs modulo
A power digraph, denoted by , is a directed graph with as the set of vertices and as the edge set. In this paper we extend the work done by Lawrence Somer and Michal Křížek: On a connection of number theory with graph theory, Czech. Math. J. 54 (2004), 465–485, and Lawrence Somer and Michal Křížek: Structure of digraphs associated with quadratic congruences with composite moduli, Discrete Math. 306 (2006), 2174–2185. The heights of the vertices and the components of for and are determined....
On the incongruence of consecutive fourth powers.
On the Kummer-Mirimanoff congruences
On the logarithmic factor in error, term estimates in certain additive congruence problems
On the multiplicative order of modulo .