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

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Showing 2022 · math.NTShow all

3 papers · 2 filters

math.NT2022

On a conjecture concerning the number of solutions to $a^{x} + b^{y} = c^{z}$ , II

Maohua Le, Reese Scott, Robert Styer

Let $a$ , $b$ , $c$ be distinct primes with $a < b$ . Let $S (a, b, c)$ denote the number of positive integer solutions $(x, y, z)$ of the equation $a^{x} + b^{y} = c^{z}$ . In a previous paper \ci…

math.NT2022

A binary quadratic approach to $X^{2} + (2 k - 1)^{Y} = k^{Z}$

Maohua Le, Anitha Srinivasan

A conjecture of N. Terai states that for any integer $k > 1$ , the equation $x^{2} + (2 k - 1)^{y} = k^{z}$ has only one solution, namely, $(x, y, z) = (k - 1, 1, 2) .$ Using the structure of class…

math.NT2022

On a conjecture concerning the number of solutions to $a^{x} + b^{y} = c^{z}$

Maohua Le, Reese Scott, Robert Styer

Let $a$ , $b$ , $c$ be fixed coprime positive integers with $min {a, b, c} > 1$ . Let $N (a, b, c)$ denote the number of positive integer solutions $(x, y, z)$ of the equation $a^x + b^y…

On a conjecture concerning the number of solutions to ax+by=cz, II

A binary quadratic approach to X2+(2k−1)Y=kZ

On a conjecture concerning the number of solutions to ax+by=cz

On a conjecture concerning the number of solutions to $a^{x} + b^{y} = c^{z}$ , II

A binary quadratic approach to $X^{2} + (2 k - 1)^{Y} = k^{Z}$

On a conjecture concerning the number of solutions to $a^{x} + b^{y} = c^{z}$