Seyran İbrahi̇mov

collaborators

3 papers

math.NT2026

On a Diophantine Equation Involving Lucas Numbers

Seyran S. Ibrahimov, Nazim I. Mahmudov

Let L_t denote the t-th Lucas number. We prove that the Diophantine equation L_m^{n+k} + L_m^n = L_r has no solutions in positive integers r, m, n, and k with m >= 2. In the case n…

math.NT2024

On the Diophantine Equation $F_{n} = F_{l}^{k} (F_{l}^{m} - 1)$

Seyran S. Ibrahimov, Nazim I. Mahmudov

In this paper, we examine the Diophantine problem given by the equation $F_{n} = F_{l}^{k} (F_{l}^{m} - 1)$ , where $n, l, m \geq 1$ and $k \geq 3$ . Here, ${F_{t}}_{t = 0}^{\infty}$ denotes…

math.NT2024

A Pillai-Catalan-type problem involving Fibonacci numbers

Seyran S. Ibrahimov, Nazim I. Mahmudov

This paper addresses A Pillai-Catalan-type problem assosiated with Fibonacci numbers. Let $F_{n}$ be the Fibonacci numbers defined by the recurrence relation $F_{1} = 1$ , $F_{2} = 1$ a…

On a Diophantine Equation Involving Lucas Numbers

On the Diophantine Equation Fn​=Flk​(Flm​−1)

A Pillai-Catalan-type problem involving Fibonacci numbers

On the Diophantine Equation $F_{n} = F_{l}^{k} (F_{l}^{m} - 1)$