Interpolated multiple $t$-values of general level with fixed weight, depth and height
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913801083813888 |
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| author | Li, Zhonghua Wang, Zhenlu |
| author_facet | Li, Zhonghua Wang, Zhenlu |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_14599 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Interpolated multiple $t$-values of general level with fixed weight, depth and height Li, Zhonghua Wang, Zhenlu Number Theory 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. |
| title | Interpolated multiple $t$-values of general level with fixed weight, depth and height |
| topic | Number Theory |
| url | https://arxiv.org/abs/2504.14599 |