Explicit bounds for the solutions of superelliptic equations over number fields

Attila Bérczes, Yann Bugeaud, Kálmán Győry +3

Let $f$ be a polynomial with coefficients in the ring $O_S$ of $S$-integers of a number field $K$, $b$ a non-zero $S$-integer, and $m$ an integer $\ge 2$. We consider the equation…