Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4673302 | Indagationes Mathematicae | 2007 | 19 Pages |
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)