L. Szalay

activity

20142026

most citedDiophantine triples with values in

k

-generalized Fibonacci sequences

8 citations · 25 across the 15 of their papers we have counts for

collaborators

Showing 2016Show all

2 papers · 1 filter

math.NT2016

On the $X$ -coordinates of Pell equations which are Tribonacci numbers

Florian Luca, Amanda Montejano, Laszlo Szalay +1

For an integer $d \geq 2$ which is not a square, we show that there is at most one value of the positive integer $X$ participating in the Pell equation $X^{2} - d Y^{2} = \pm 1$ which is a T…

math.NT2016★ 8 cited

Diophantine triples with values in $k$ -generalized Fibonacci sequences

Clemens Fuchs, Christoph Hutle, Florian Luca +1

We show that if $k \geq 2$ is an integer and $(F_{n}^{(k)})_{n \geq 0}$ is the sequence of $k$ -generalized Fibonacci numbers, then there are only finitely many triples of positive intege…

On the X-coordinates of Pell equations which are Tribonacci numbers

Diophantine triples with values in k-generalized Fibonacci sequences

On the $X$ -coordinates of Pell equations which are Tribonacci numbers

Diophantine triples with values in $k$ -generalized Fibonacci sequences