Maesaka-Seki-Watanabe's formula for multiple harmonic $q$-sums
Number Theory
2024-08-30 v2 Combinatorics
Abstract
Maesaka, Seki, and Watanabe recently discovered an equality called the MSW formula. This paper provides a -analogue of the MSW formula. It discusses the new proof of the duality relation for finite multiple harmonic -series at primitive roots of unity via -analogue of the MSW formula. This paper also gives a -analogue of Yamamoto's generalization of the MSW formula for Schur type.
Keywords
Cite
@article{arxiv.2406.07930,
title = {Maesaka-Seki-Watanabe's formula for multiple harmonic $q$-sums},
author = {Yuto Tsuruta},
journal= {arXiv preprint arXiv:2406.07930},
year = {2024}
}
Comments
12 pages