Double Lerch Value Relations and Functional Relations for Witten Zeta Functions
Double Lerch Value Relations and Functional Relations for Witten Zeta Functions
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DOI：
10.3836/tjm/1233844070
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发表时间：
2008-12
影响因子：
0.6
通讯作者：
Takashi Nakamura
中科院分区：
文献类型：
--
作者：
Takashi Nakamura
。本文利用双Lerch值关系，得到了Witten Zeta函数的函数关系。利用这些函数关系，我们得到了关于Tornheim双重Zeta值、Euler-Zagier双重Zeta值以及它们的交替和特征类似的已知结果的新证明。
. In this paper, we obtain functional relations for Witten zeta functions by using relations of double Lerch values. By these functional relations, we obtain new proofs of known results on the Tornheim double zeta values, the Euler-Zagier double zeta values, and their alternating and character analogues.