Reese Scott, Robert Styer
Published 2022-06-28Version 1
For relatively prime integers $a$ and $b$ both greater than one and odd integer $c$, there are at most two solutions in positive integers $(x,y,z)$ to the equation $a^x + b^y = c^z$. There are an infinite number of $(a,b,c)$ giving exactly two solutions.
On the Sum of Dilations of a Set
Strictly chained (p,q)-ary partitions
The generalized Pillai equation $\pm r a^x \pm s b^y = c$
![QR code for arXiv:2206.14067 [math.NT]](http://oss.arxitics.com/images/favicon.svg)