论文标题
$ s $单位方程式有两个变量和padé近似
$S$-unit equation in two variables and Padé approximations
论文作者
论文摘要
在本文中，我们使用为二项式函数构建的padé近似值，为$ s $ unit方程的解决方案数量提供了新的上限。将这些帕德近似值的显式公式与依靠Mahler度量的简单参数相结合，在局部高度上，我们由于J.-H的结合而完善了结合。 Evertse。
In this article, we use Padé approximations constructed for binomial functions, to give a new upper bound for the number of the solutions of the $S$-unit equation. Combining explicit formulae of these Padé approximants with a simple argument relying on Mahler measure and on the local height, we refine the bound due to J.-H. Evertse.
