On Explicit Bounds for the Solutions of a Class of Parametrized Thue Equations of Arbitrary Degree

Abstract.

 In a recent paper [7] the author considered the family of parametrized Thue equations

for monic polynomials which satisfy

Under some technical conditions it could be proved that there is a computable constant such that for all integers the only integer solutions of the Diophantine equation satisfy .

In this paper, we give an explicit expression for depending on the polynomials .