论文标题

对欧拉总和的几种变体的明确评估

Explicit Evaluations for Several Variants of Euler Sums

论文作者

Xu, Ce

论文摘要

我们使用轮廓积分和残基定理的方法研究了欧拉总和的几种变体。这些变体具有良好的特性,例如封闭形式,还原等,例如经典的Euler总和。此外,我们还定义了级别2的多个ZETA值的变体,并在Euler总和的这些变体与多个Zeta值的变体之间给出了一些身份。

We study several variants of Euler sums by using the methods of contour integration and residue theorem. These variants exhibit nice properties such as closed forms, reduction, etc., like classical Euler sums. In addition, we also define a variant of multiple zeta values of level 2, and give some identities on relations between these variants of Euler sums and the variant of multiple zeta values.

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