论文标题
重量5、6和7的多边形多边形类型的功能方程
Functional equations of polygonal type for multiple polylogarithms in weights 5, 6 and 7
论文作者
论文摘要
我们在权重5、6和7中介绍了新的功能方程,并将其用于显式深度降低多个小聚集体。这些身份概括了至关重要的身份。
We present new functional equations in weights 5, 6 and 7 and use them for explicit depth reduction of multiple polylogarithms. These identities generalize the crucial identity $\mathbf{Q}_4$ from the recent work of Goncharov and Rudenko that was used in their proof of the weight 4 case of Zagier's Polylogarithm Conjecture.