论文标题
评估一维的多凝集积分,并应用于无限序列
Evaluation of one-dimensional polylogarithmic integral, with applications to infinite series
论文作者
论文摘要
我们提供了系统的方法来评估与多个Zeta值(MZV)和有色MZV相关的大量一维积分。我们还应用了迭代积分和正则化的技术来阐明涉及二项式系数的某些无限序列的性质。该技术可以应用于许多Apéry型无限总和。
We give systematic method to evaluate a large class of one-dimensional integral relating to multiple zeta values (MZV) and colored MZV. We also apply the technique of iterated integrals and regularization to elucidate the nature of some infinite series involving binomial coefficients. This technique can be applied to many Apéry-type infinite sums.