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 2022Show all

6 papers · 1 filter

math.NT2022★ 1 cited

On common index divisors and monogenity of of the nonic number field defined by a trinomial $x^{9} + a x + b$

Hamid Ben Yakkou, Pagdame Tiebekabe

Let $K$ be a nonic number field generated by a complex root $þ$ of a monic irreducible trinomial $F (x) = x^{9} + a x + b \in Z [x]$ , where $ab \neq = 0$ . Let $i (K)$ be the index of $K$ . A…

math.NT2022

On the Diophantine equation $k = 1 \sum 5 F_{n_{k}} = 2^{a}$

Pagdame Tiebekabe, Ismaïla Diouf

Let $(F_{n})_{n \geq 0}$ be the Fibonacci sequence given by $F_{0} = 0, F_{1} = 1$ and $F_{n + 2} = F_{n + 1} + F_{n}$ for $n \geq 0$ . In this paper, we have determined all the powers of 2 which…

math.NT2022

On solutions of the Diophantine equation $P_{m} - L_{n} = c$

Pagdame Tiebekabe, Serge Adonsou, Ismaïla Diouf

\noindent In this article, we determine all the integers $c$ having at least two representations as difference between two linear recurrent sequences. This is a variant of the Pill…

math.NT2022★ 2 cited

On Pillai's problem involving two linear recurrent sequences : Padovan and Fibonacci

Pagdame Tiebekabe, Serge Adonsou

In this paper, we find all integers $c$ having at least two representations as a difference between linear recurrent sequences. This problem is a pillai problem involving Padovan a…

math.NT2022★ 4 cited

On solutions of the Diophantine equation $L_{n} + L_{m} = 3^{a}$

Pagdame Tiebekabe, Ismaila Diouf

Let $(L_{n})_{n \geq 0}$ be the Lucas sequence given by $L_{0} = 2, L_{1} = 1$ and $L_{n + 2} = L_{n + 1} + L_{n}$ for $n \geq 0$ . In this paper, we are interested in finding all powers of three…

math.NT2022

On solutions of the Diophantine equation $F_{n_{1}} + F_{n_{2}} + F_{n_{3}} + F_{n_{4}} = 2^{a}$

Pagdame Tiebekabe, Ismaïla Diouf

Let $(F_{n})_{n \geq 0}$ be the Fibonacci sequence given by $F_{0} = 0, F_{1} = 1$ and $F_{n + 2} = F_{n + 1} + F_{n}$ for $n \geq 0$ . In this paper, we solve all powers of two which are sums of…

On common index divisors and monogenity of of the nonic number field defined by a trinomial x9+ax+b

On the Diophantine equation k=1∑5​Fnk​​=2a

On solutions of the Diophantine equation Pm​−Ln​=c

On Pillai's problem involving two linear recurrent sequences : Padovan and Fibonacci

On solutions of the Diophantine equation Ln​+Lm​=3a

On solutions of the Diophantine equation Fn1​​+Fn2​​+Fn3​​+Fn4​​=2a

On common index divisors and monogenity of of the nonic number field defined by a trinomial $x^{9} + a x + b$

On the Diophantine equation $k = 1 \sum 5 F_{n_{k}} = 2^{a}$

On solutions of the Diophantine equation $P_{m} - L_{n} = c$

On solutions of the Diophantine equation $L_{n} + L_{m} = 3^{a}$

On solutions of the Diophantine equation $F_{n_{1}} + F_{n_{2}} + F_{n_{3}} + F_{n_{4}} = 2^{a}$