A. Hoque

collaborators

2 papers

math.NT2021

On the complete solutions of a generalized Lebesgue-Ramanujan-Nagell equation

Kalyan Chakraborty, Azizul Hoque

We consider the generalized Lebesgue-Ramanujan-Nagell equation $x^{2} + 1 7^{k} 4 1^{ℓ} 5 9^{m} = 2^{δ} y^{n}$ in the unknown integers $x \geq 1, y > 1, n \geq 3$ and $k, ℓ, m \geq 0$ satisfying $\gcd(…

math.NT2021

Complete solutions of a Lebesgue-Ramanujan-Nagell type equation

Priyanka Baruah, Anup Das, Azizul Hoque

We consider the Lebesgue-Ramanujan-Nagell type equation $x^{2} + 5^{a} 1 3^{b} 1 7^{c} = 2^{m} y^{n}$ , where $a, b, c, m \geq 0, n \geq 3$ and $x, y \geq 1$ are unknown integers with $g cd (x, y) = 1$ . We det…