Elementary resolution of a family of quartic Thue equations over function fields

Clemens Fuchs, Ana Jurasić, Roland Paulin

We consider and completely solve the parametrized family of Thue equations \begin{eqnarray*}X(X-Y)(X+Y)(X-λY)+Y^4=ξ,\end{eqnarray*} where the solutions $x,y$ come from the ring $\m…