M. Le

most citedA brief survey on the generalized Lebesgue-Ramanujan-Nagell equation

10 citations · 11 across the 2 of their papers we have counts for

collaborators

3 papers

math.NT2020

A note on the ternary purely exponential Diophantine equation $A^{x} + B^{y} = C^{z}$ with $A + B = C^{2}$

Elif Kızıldere, Maohua Le, Gökhan Soydan

Let $ℓ, m, r$ be fixed positive integers such that $2 ∤ ℓ$ , $3 ∤ ℓ m$ , $ℓ > r$ and $3 ∣ r$ . In this paper, using the BHV theorem on the existence of primitive div…

math.NT2020★ 10 cited

A brief survey on the generalized Lebesgue-Ramanujan-Nagell equation

Maohua Le, Gökhan Soydan

The generalized Lebesgue-Ramanujan-Nagell equation is an important type of polynomial-exponential Diophantine equation in number theory. In this survey, the recent results and some…

math.NT2017★ 1 cited

A Upper Bound for the Number of Solutions of Ternary Purely Exponential Diophantine Equations

Yongzhong Hu, Maohua Le

Let $a, b, c$ be fixed coprime positive integers with $min {a, b, c} > 1$ . In this paper, combining the Gel'fond-Baker method with an elementary approach, we prove that if $\max\{a,b,c…

A note on the ternary purely exponential Diophantine equation Ax+By=Cz with A+B=C2

A brief survey on the generalized Lebesgue-Ramanujan-Nagell equation

A Upper Bound for the Number of Solutions of Ternary Purely Exponential Diophantine Equations

A note on the ternary purely exponential Diophantine equation $A^{x} + B^{y} = C^{z}$ with $A + B = C^{2}$