L. Szalay

collaborators

2 papers

math.NT2026

Representations with k-generalized Fibonacci numbers

Taboka Prince Chalebgwa, Laszlo Szalay

We study representations of integers using $k$ -generalized Fibonacci numbers. For $k \geq 2$ , we first consider signed representations of zero with coefficients in ${- 1, 0, 1}$ and…

math.NT2025

Four squares from three numbers

Andrej Dujella, LÃ¡szlÃ³ Szalay

We show that there are infinitely many triples of positive integers a, b, c (greater than 1) such that ab + 1, ac + 1, bc + 1 and abc + 1 are all perfect squares.