Maesaka-Seki-Watanabe's formula for multiple harmonic $q$-sums
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2024
- DOI:
- 10.48550/arXiv.2406.07930
- arXiv:
- arXiv:2406.07930
- Bibcode:
- 2024arXiv240607930T
- Keywords:
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- Mathematics - Number Theory;
- Mathematics - Combinatorics
- E-Print:
- 12 pages