M. Le

activity

20172023

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

10 citations · 23 across the 14 of their papers we have counts for

collaborators

Showing 2018Show all

4 papers · 1 filter

math.NT2018★ 1 cited

An application of Baker's method to the Jeśmanowicz' conjecture on primitive Pythagorean triples

Maohua Le

Let $m$ , $n$ be positive integers such that $m > n$ , $g cd (m, n) = 1$ and $m \neq \equiv n mod 2$ . In 1956, L. Jeśmanowicz \cite{Jes} conjectured that the equation $(m^2 - n^2)^x + (2m…

math.NT2018★ 1 cited

An application of the BHV theorem to a new conjecture on exponential diophantine equations

Maohua Le

Let $A$ , $B$ be fixed positive integers such that $min {A, B} > 1$ , $g cd (A, B) = 1$ and $A B \equiv 0 mod 2$ , and let $n$ be a positive integer with $n > 1$ . In this paper, using a…

math.NT2018★ 2 cited

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

Yongzhong Hu, Maohua Le

Let $a, b, c$ be fixed coprime positive integers with $min {a, b, c} > 1$ . In this paper, by analyzing the gap rule for solutions of the ternary purely exponential diophantine equation…

math.NT2018★ 8 cited

A Survey on the Ternary Purely Exponential Diophantine Equation $a^{x} + b^{y} = c^{z}$

Maohua Le, Reese Scott, Robert Styer

Let $a$ , $b$ , $c$ be fixed coprime positive integers with $min {a, b, c} > 1$ . In this survey, we consider some unsolved problems and related works concerning the positive integer so…

An application of Baker's method to the Jeśmanowicz' conjecture on primitive Pythagorean triples

An application of the BHV theorem to a new conjecture on exponential diophantine equations

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

A Survey on the Ternary Purely Exponential Diophantine Equation ax+by=cz

A Survey on the Ternary Purely Exponential Diophantine Equation $a^{x} + b^{y} = c^{z}$