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arXiv · 2504.14599

Interpolated multiple $t$-values of general level with fixed weight, depth and height

Zhonghua Li·Zhenlu Wang
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Abstract

In this paper, we introduce the interpolated multiple $t$-values of general level and represent a generating function for sums of interpolated multiple $t$-values of general level with fixed weight, depth, and height in terms of a generalized hypergeometric function $_3F_2$ evaluated at $1$. Furthermore, we explore several special cases of our results. The theorems presented in this paper extend earlier results on multiple zeta values and multiple $t$-values of general level.

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Zhonghua Li, Zhenlu Wang. 2025-04-20. Interpolated multiple $t$-values of general level with fixed weight, depth and height. https://arxiv.org/abs/2504.14599

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