论文标题
在阳性特征中的多个小聚集体的分析延续
Analytic continuation of multiple polylogarithms in positive characteristic
论文作者
论文摘要
我们本文的目的是提出一种通过使用Artin-Schreier方程来对Carlitz多重（Star）多组载体进行分析延续的方法，并通过引入单片模块的概念来对其分支进行处理。作为这种方法的应用，我们获得（1）持续carlitz模块的较高张量功率的对数的方法，（2）正交性特性（Chang-Mishiba功能关系），（3）Eulerian特性的分支独立性。
Our aim of this paper is to propose a method of analytic continuation of Carlitz multiple (star) polylogarithms to the whole space by using Artin-Schreier equation and present a treatment of their branches by introducing the notion of monodromy modules. As applications of this method, we obtain (1) a method of continuation of the logarithms of higher tensor powers of Carlitz module, (2) the orthogonal property (Chang-Mishiba functional relations), (3) a branch independency of the Eulerian property.
