A. Togbé

activity

20152026

most citedFibonacci and Lucas numbers as products of three repdigits in base

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3 citations · 6 across the 8 of their papers we have counts for

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Showing 2025Show all

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math.NT2025

On the Exponential Diophantine Equation $(a^{n} - 1) (b^{n} - 1) = x^{2}$

Armand Noubissie, Alain Togbe, Zhongfeng Zhang

Let $a$ and $b$ be two distinct fixed positive integers such that $min {a, b} > 1.$ First, we correct an oversight from \cite{X-Z}. Then, we show that the equation in the title wit…

math.NT2025

On some ternary Diophantine equations of Signature $(p, p, k)$

Armand Noubissie, Alain Togbe

In this paper, we summarize the work on ternary Diophantine equation of the form $A x^{n} + B y^{n} = c z^{m}$ , where $m \in {2, 3, n}$ , $n ⩾ 7$ is a prime. Moreover, we completely sol…

On the Exponential Diophantine Equation (an−1)(bn−1)=x2

On some ternary Diophantine equations of Signature (p,p,k)

On the Exponential Diophantine Equation $(a^{n} - 1) (b^{n} - 1) = x^{2}$

On some ternary Diophantine equations of Signature $(p, p, k)$