论文标题
单变量的多个多层载体及其$ Q $ - Analogues的双重性
Duality of one-variable multiple polylogarithms and their $q$-analogues
论文作者
论文摘要
Hirose，Iwaki，Sato和Tasaka通过迭代的积分证明了单变量多个多聚类的二元性关系。在本文中，我们使用连接总和的方法给出了一个新的证明，这是Seki和作者最近发明的。有趣的是，连接的总和涉及其连接器中的超几何函数。此外，我们介绍了一种单变量的多个多聚集体的两种$ q $ - 词汇，并将双重性概括为它们。
The duality relation of one-variable multiple polylogarithms was proved by Hirose, Iwaki, Sato and Tasaka by means of iterated integrals. In this paper, we give a new proof using the method of connected sums, which was recently invented by Seki and the author. Interestingly, the connected sum involves the hypergeometric function in its connector. Moreover, we introduce two kinds of $q$-analogues of the one-variable multiple polylogarithms and generalize the duality to them.
