论文标题
类似Tornheim的系列，谐波数和Zeta值
Tornheim-like series, harmonic numbers and zeta values
论文作者
论文摘要
表格中的类似Tornheim的双重系列的明确评估\ [\ sum_ {n，m = 1}^\ infty \ frac {h_ {n+m+s}} {nm \ left（n+m+s \ s \ right）}给出了他们的扩展。此外，类型\ [\ sum_ {m = 1}^\ infty \ frac {2H_ {2M+1} -h_ {M}} {2m \ left（2m+1 \ orir）} {2m+1 \ oright）} \]，以及其他一些类似Tornheim的多个系列的Zeta值。
Explicit evaluations of the Tornheim-like double series in the form \[ \sum_{n,m=1}^\infty \frac{H_{n+m+s}}{nm\left( n+m+s \right)},\ s\in \mathbb{N\cup } \left\{ 0 \right\} \] and their extensions are given. Furthermore, series of the type \[ \sum_{m=1}^\infty \frac{2H_{2m+1}-H_{m}}{2m\left( 2m+1 \right)} \] and some other Tornheim-like multiple series are evaluated in terms of the zeta values.
