带权计数函数的第二主要定理及其应用
Second main theorems with weighted counting functions and its applications
摘要：
本文的目的有两个方面。第一个是将最近关于$¶^n(\C)$的映射和移动超平面的一些第二主要定理推广到计数函数被截断重数（按水平$n$）和具有不同权重的情况。作为其应用，本文的第二个目的是将具有相同运动超平面的逆像的亚纯映射的代数依赖定理推广和改进到运动超平面包含不同作用假设的情形。
英文摘要：
The purpose of this article has two fold. The first is to generalize some recent second main theorems for the mappings and moving hyperplanes of $¶^n(\C)$ to the case where the counting functions are truncated multiplicity (by level $n$) and have different weights. As its application, the second purpose of this article is to generalize and improve some algebraic dependence theorems for meromorphic mappings having the same inverse images of some moving hyperplanes to the case where the moving hyperplanes involve the assumption with different roles.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
