Bernadette Faye

collaborators

3 papers

math.NT2026

On concatenations of two $k$ -generalized Pell numbers

Cherif B. Deme, Kancou D. Fall, Khady Faye +1

We study the concatenation of two $k$ -generalized Pell numbers. More precisely, we determine all solutions of the equation $P_{n}^{(k)} = P_{m}^{(k)} \cdot 1 0^{d} + P_{p}^{(k)}$ , where $…

math.NT2026

Multiplicative independence in the sequence of $k$ -generalized Pell numbers

Cherif B. Deme, Kancou D. Fall, Khady Faye +1

We study multiplicative dependence between terms of the $k$ -generalized Pell sequence $(P_{n}^{(k)})_{n \geq 2 - k}$ , defined by the linear recurrence \[ P_n^{(k)} = 2P_{n-1}^{(k)} + P_{…

math.NT2023

Pell and Pell-Lucas numbers as difference of two repdigits

Bilizimbeye Edjeou, Bernadette Faye

Let ${P_{n}}_{n \geq 0}$ be the sequence of Pell numbers defined by $P_{0} = 0$ , $P_{1} = 1$ and $P_{n + 2} = 2 P_{n + 1} + P_{n}$ for all $n \geq 0$ and let ${Q_{n}}_{n \geq 0}$ be its…

On concatenations of two k-generalized Pell numbers

Multiplicative independence in the sequence of k-generalized Pell numbers

Pell and Pell-Lucas numbers as difference of two repdigits

On concatenations of two $k$ -generalized Pell numbers

Multiplicative independence in the sequence of $k$ -generalized Pell numbers