L. Szalay

activity

20172021

collaborators

5 papers

math.CO2021

Sequences involving square zig-zag shapes

László Németh, László Szalay

We define a so-called square $k$ -zig-zag shape as a part of the regular square grid. Considering the shape as a $k$ -zig-zag digraph, we give values of its vertices according to the…

math.NT2020

Markoff-Rosenberger triples and generalized Lucas sequences

Hayder Hashim, László Szalay, Szabolcs Tengely

We consider the Markoff-Rosenberger equation $a x^{2} + b y^{2} + c z^{2} = d x y z$ with $(x, y, z) = (U_{i}, U_{j}, U_{k}),$ where $U_{i}$ denotes the $i$ -th generalized Lucas number of first/second kind. We…

math.NT2020

Resolution of the equation $(3^{x_{1}} - 1) (3^{x_{2}} - 1) = (5^{y_{1}} - 1) (5^{y_{2}} - 1)$

Kálmán Liptai, László Németh, Gökhan Soydan +1

Consider the diophantine equation $(3^{x_{1}} - 1) (3^{x_{2}} - 1) = (5^{y_{1}} - 1) (5^{y_{2}} - 1)$ in positive integers $x_{1} \leq x_{2}$ , and $y_{1} \leq y_{2}$ . Each side of the equation is a product of two…

math.NT2018

On sunlet graphs connected to a specific map on ${1, 2, \dots, p - 1}$

Omar Khadir, László Németh, László Szalay

In this article, we study the structure of the graph implied by a given map on the set $S_{p} = {1, 2, \dots, p - 1}$ , where $p$ is an odd prime. The consecutive applications of the map g…

math.CO2017

Power sums in hyperbolic Pascal triangles