2 problems

Let $0\ne m\in\mathbb Z$ be a rational integer satisfying ()—that is, $m\ne 1$ is square-free and $m\not\equiv 1\pmod 4$—with $m<0$. Set $K=\mathbb Q(\sqrt[8]{m})$ and identify gen…

The paper considers the relative Thue equations and the corresponding parametrizations of solutions described in Theorems 3 and 4, with parameters $t$ and variables $x,y,z$ as spec…