Article ID Journal Published Year Pages File Type
4673302 Indagationes Mathematicae 2007 19 Pages PDF
Abstract

We sharpen work of Bugeaud to show that the equation of the title has, for t = 1 or 2, no solutions in positive integers x, y, z and k with z > 1 and k > 3. The proof utilizes a variety of techniques, including the hypergeometric method of Thue and Siegel, as well as an assortment of gap principles.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)