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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.03498 |
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| _version_ | 1866909572933877760 |
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| author | Yamamoto, Shuji |
| author_facet | Yamamoto, Shuji |
| contents | Recently, Maesaka, Seki and Watanabe discovered a surprising equality between multiple harmonic sums and certain Riemann sums which approximate the iterated integral expression of the multiple zeta values. In this paper, we describe the formula corresponding to the multiple zeta-star values and, more generally, to the Schur multiple zeta values of diagonally constant indices. We also discuss the relationship of these formulas with Hoffman's duality identity and an identity due to Kawashima. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_03498 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Some Remarks on Maesaka-Seki-Watanabe's Formula for the Multiple Harmonic Sums Yamamoto, Shuji Number Theory 11M32 Recently, Maesaka, Seki and Watanabe discovered a surprising equality between multiple harmonic sums and certain Riemann sums which approximate the iterated integral expression of the multiple zeta values. In this paper, we describe the formula corresponding to the multiple zeta-star values and, more generally, to the Schur multiple zeta values of diagonally constant indices. We also discuss the relationship of these formulas with Hoffman's duality identity and an identity due to Kawashima. |
| title | Some Remarks on Maesaka-Seki-Watanabe's Formula for the Multiple Harmonic Sums |
| topic | Number Theory 11M32 |
| url | https://arxiv.org/abs/2403.03498 |