K. R. Kakanou

collaborators

2 papers

math.GM2023

Narayana numbers as product of three repdigits in base $g$

Pagdame Tiebekabe, K. R. Kakanou, H. Ben Yakkou

In this paper, we show that there are only finitely many Narayana's numbers which can be written as product of three repdigits in base $g$ with $g \geq 2$ . Moreover, for $2 \leq g…

math.NT2023

The Diophantine equation $a (\frac{b ^{k} - 1}{b - 1}) = U_{n} - U_{m}$

P. Tiebekabe, I. Diouf, A. Tall +1

Here, we find all positive integer solutions of the Diophantine equation in the title, where $(U_{n})_{n ⩾ 0}$ is the generalized Lucas sequence $\mathcal{U}_0=0, \…

Narayana numbers as product of three repdigits in base g

The Diophantine equation a(b−1bk−1​)=Un​−Um​

Narayana numbers as product of three repdigits in base $g$

The Diophantine equation $a (\frac{b ^{k} - 1}{b - 1}) = U_{n} - U_{m}$