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arXiv · 2204.07785

Ohno-Zagier type relation for multiple $t$-values

Zhonghua Li·Yutong Song
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Abstract

We study the Ohno-Zagier type relation for multiple $t$-values and multiple $t$-star values. We represent the generating function of sums of multiple $t$-(star) values with fixed weight, depth and height in terms of the generalized hypergeometric function $\,_3F_2$. As applications, we get a formula for the generating function of sums of multiple $t$-(star) values of maximal height and a weighted sum formula for sums of multiple $t$-(star) values with fixed weight and depth.

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Zhonghua Li, Yutong Song. 2022-04-16. Ohno-Zagier type relation for multiple $t$-values. https://arxiv.org/abs/2204.07785

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