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.NT2025

Thue equations over $C (T)$ : The Complete Solution of a Simple quartic family

Bernadette Faye, Ingrid Vukusic, Ezra Waxman +1

In this paper we completely solve a simple quartic family of Thue equations over $C (T)$ . Specifically, we apply the ABC-Theorem to find all solutions $(x,y) \in \mathbb{C}…

On concatenations of two k-generalized Pell numbers

Multiplicative independence in the sequence of k-generalized Pell numbers

Thue equations over C(T): The Complete Solution of a Simple quartic family

On concatenations of two $k$ -generalized Pell numbers

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

Thue equations over $C (T)$ : The Complete Solution of a Simple quartic family