Konstantinos Gaitanas

activity

20192024

most citedAn extension of Wilson's Theorem

3 citations · 3 across the 2 of their papers we have counts for

collaborators

3 papers

math.GM2024★ 3 cited

An extension of Wilson's Theorem

Konstantinos Gaitanas

Let $N [k]$ be the multiset containing the $(k n - 1)$ products of $k$ -subsets of ${1, \dots, n - 1}$ . We show that if $n \geq (2 c + 3)^{2}$ , then \begin{gather*}\left((-1…

math.GM2023

Some new primality criteria based on Lucas sequences

Konstantinos Gaitanas

In this paper, we provide some novel results concerning the behavior of $\frac{U _{k n}}{U _{k}}$ modulo $U_{n}$ , where $(U_{n})_{n \in N}$ is the Lucas sequence of the first kind.…

math.GM2019

Two divisibility problems on subset sums

Konstantinos Gaitanas

We consider two problems regarding some divisibility properties of the subset sums of a set $A \subseteq {1, 2, \dots, n}$ . At the beginning, we study the cardinality of $A$ whic…