C. B. Deme

collaborators

3 papers

math.NT2026

Pillai's equation between k-generalized Pell numbers and Tribonacci numbers

Cherif B. Deme, Kancou D. Fall, Bernadette Faye

For an integer $k \geq 2$ , let $(P_{n}^{(k)})_{n \geq 0}$ be the $k$ -generalized Pell sequence and $(T_{m})_{m \geq 1}$ the Tribonacci sequence. We determine, for every $k \geq 2$ , all integers $c…

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 $(P_n^{(k)})_{n\ge 2-k}$, defined by the linear recurrence \[ P_n^{(k)}=2P_{n-1}^{(k)}+P_{…

Pillai's equation between k-generalized Pell numbers and Tribonacci numbers

On concatenations of two k-generalized Pell numbers

Multiplicative independence in the sequence of k-generalized Pell numbers

On concatenations of two $k$ -generalized Pell numbers

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