Maesaka-Seki-Watanabe's formula for multiple harmonic $q$-sums
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912006097862656 |
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| author | Tsuruta, Yuto |
| author_facet | Tsuruta, Yuto |
| contents | Maesaka, Seki, and Watanabe recently discovered an equality called the MSW formula. This paper provides a $q$-analogue of the MSW formula. It discusses the new proof of the duality relation for finite multiple harmonic $q$-series at primitive roots of unity via $q$-analogue of the MSW formula. This paper also gives a $q$-analogue of Yamamoto's generalization of the MSW formula for Schur type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_07930 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Maesaka-Seki-Watanabe's formula for multiple harmonic $q$-sums Tsuruta, Yuto Number Theory Combinatorics Maesaka, Seki, and Watanabe recently discovered an equality called the MSW formula. This paper provides a $q$-analogue of the MSW formula. It discusses the new proof of the duality relation for finite multiple harmonic $q$-series at primitive roots of unity via $q$-analogue of the MSW formula. This paper also gives a $q$-analogue of Yamamoto's generalization of the MSW formula for Schur type. |
| title | Maesaka-Seki-Watanabe's formula for multiple harmonic $q$-sums |
| topic | Number Theory Combinatorics |
| url | https://arxiv.org/abs/2406.07930 |