Q. Han

collaborators

2 papers

math.NT2021

The Shuffle Variant of a Diophantine equation of Miyazaki and Togbé

Elif Kızıldere, Gökhan Soydan, Qing Han +1

In 2012, T. Miyazaki and A. Togbé gave all of the solutions of the Diophantine equations $(2 am - 1)^{x} + (2 m)^{y} = (2 am + 1)^{z}$ and $b^{x} + 2^{y} = (b + 2)^{z}$ in positive integers $x, y, z,$ $a > 1$ and…

math.NT2019

An elementary proof of a result Ma and Chen

Qing Han, Pingzhi Yuan

In 1956, Je $s ˊ$ manowicz conjectured that, for positive integers $m$ and $n$ with $m > n, g cd (m, n) = 1$ and $m \neq \equiv n (mod 2)$ , the exponential Diophantine equation $…