Title: Visible Point Partition Identities for Polylogarithms, and Parametric Euler Sums Show Chinese title

Title: 多对数的可见点划分恒等式以及参数欧拉和

Abstract: We set the scene with known values and functional relations for dilogarithms, trilogarithms and polylogarithms of various orders, along with more recent Euler sum values and multidimensional computations paying homage to the three late Professors Borwein \textit{et al.}. We then apply many of these sum values to tabulate some sixty new combinatorial identities for weighted partitions into Visible Point Vectors in 2D, 3D, 4D and 5D cases suggesting new $n$D first hyperquadrant and hyperpyramid lattice point identities. Show Chinese abstract

Abstract: 我们通过已知值和对数函数、三对数函数和各阶多对数函数的函数关系来设定场景，同时还包括近期的欧拉求和值和多维计算，以向三位已故的鲍威尔教授致敬\textit{等.}。 随后，我们将许多这些求和值应用于列出一些新的组合恒等式，涉及二维、三维、四维和五维中的可见点向量加权分拆，暗示了新的$n$维第一超象限和超金字塔格点恒等式。