论文标题
关于有效的$ε$ - 综合性在功能字段的轨道上的轨道和乘法依赖性
On effective $ε$-integrality in orbits of rational maps over function fields and multiplicative dependence
论文作者
论文摘要
在某些条件下，我们在功能领域的非异位合理图的轨道中为设置的准积分提供了有效界限，从而将HSIA和Silverman（2011）的先前工作推广到特征零的功能字段上。然后，我们使用它来证明代数函数的有限结果，其在有理函数下的轨道具有乘以依赖性的元素模量$ s $ integers，从而将最近的结果推广到数字字段上。
We give effective bounds for the set quasi-integral points in orbits of non-isotrivial rational maps over function fields under some conditions, generalizing previous work of Hsia and Silverman (2011) for orbits over function fields of characteristic zero. We then use this to prove finiteness results for algebraic functions whose orbit under a rational function has multiplicative dependent elements modulo rings of $S$-integers, generalizing recent results over number fields.
