Thue equations associated with Ankeny-Brauer-Chowla number fields

For a wide class of one-parameter families of Thue equations of arbitrary d egree n greater than or equal to 3 all solutions are determined if the para meter is sufficiently large. The result is based on the Lang-Waldschmidt co njecture, on the primitivity of the associated number fields and on an inde x bound, which does not depend on the coefficients. By applying the theory of Hilbertian fields and results on thin sets, primitivity is proved for al most all choices (in the sense of density) of the parameters.