Applications of a formula of Maesaka-Seki-Watanabe type for multiple harmonic $q$-sums
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917555235454976 |
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| author | Takeyama, Yoshihiro Tsuruta, Yuto |
| author_facet | Takeyama, Yoshihiro Tsuruta, Yuto |
| contents | Maesaka, Seki and Watanabe proved a formula for multiple harmonic sums. Yamamoto generalized it to Schur-type multiple harmonic sums, and the second author proved a $q$-analogue of this generalization. In this paper, we give two applications of the $q$-analogue formula. The first is an alternative proof of the duality of a $q$-analogue of multiple zeta values. The second is a proof of an identity for a $q$-analogue of the Kawashima function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2606_02123 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Applications of a formula of Maesaka-Seki-Watanabe type for multiple harmonic $q$-sums Takeyama, Yoshihiro Tsuruta, Yuto Number Theory Maesaka, Seki and Watanabe proved a formula for multiple harmonic sums. Yamamoto generalized it to Schur-type multiple harmonic sums, and the second author proved a $q$-analogue of this generalization. In this paper, we give two applications of the $q$-analogue formula. The first is an alternative proof of the duality of a $q$-analogue of multiple zeta values. The second is a proof of an identity for a $q$-analogue of the Kawashima function. |
| title | Applications of a formula of Maesaka-Seki-Watanabe type for multiple harmonic $q$-sums |
| topic | Number Theory |
| url | https://arxiv.org/abs/2606.02123 |