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arXiv · 2006.02967

Duality of Weighted Sum Formulas of Alternating Multiple $T$-Values

Ce Xu
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Abstract

Recently, a new kind of multiple zeta value level two $T({\bf k})$ (which is called multiple $T$-values) was introduced and studied by Kaneko and Tsumura. In this paper, we define a kind of alternating version of multiple $T$-values, and study several duality formulas of weighted sum formulas about alternating multiple $T$-values by using the methods of iterated integral representations and series representations. Some special values of alternating multiple $T$-values can also be obtained.

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Ce Xu. 2020-05-30. Duality of Weighted Sum Formulas of Alternating Multiple $T$-Values. https://arxiv.org/abs/2006.02967

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