A parametric family of quintic Thue equations II

In this paper we completely solve the family of Thue equations F(x, y) = x(5) + (t-1)(2)x(4)y - (2t(3) + 4t + 4)x(3)y(2) + + (t(4) + t(3) + 2t(2) + 4t - 3)x(2)y(3) + (t(3) + t(2) + 5t + 3)xy(4) + y(5) = +/-1 where t is an element of Z is an integral parameter. In particular, For t n ot equal -1,0, the only solutions are me trivial ones with x = 0 or y = 0. The result is achieved by sharpening the estimates of part I of the paper a nd by solving 2.2 (.)10(6) Thue equations with the method of Bilu and Hanro t. 2000 Mathematics Subject Classification: 11D59, 11Y50.