Familles d'equations de Thue-Mahler n'ayant que des solutions triviales

Claude Levesque, Michel Waldschmidt

Let $K$ be a number field, let $S$ be a finite set of places of $K$ containing the archimedean places and let $\mu$, ${\alpha }_1,{\alpha }_2,{\alpha }_3$ be non--zero elements in $K$. Denote by $\OS$ the r…