P. Tiebekabe

activity

20222026

most citedOn solutions of the Diophantine equation

L_{n} + L_{m} = 3^{a}

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

collaborators

Showing 2023Show all

3 papers · 1 filter

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, \…

math.NT2023★ 1 cited

Narayana's cows numbers which are concatenations of three repdigits in base $ρ$

Pagdame Tiebekabe, Kouèssi Norbert Adédji, Nadjime Pindra +1

Narayana's sequence is a ternary recurrent sequence defined by the recurrence relation $N_{n} = N_{n - 1} + N_{n - 3}$ with initial terms $N_{0} = 0$ and…

Narayana numbers as product of three repdigits in base g

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

Narayana's cows numbers which are concatenations of three repdigits in base ρ

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

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

Narayana's cows numbers which are concatenations of three repdigits in base $ρ$