Maesaka-Seki-Watanabe's formula for multiple harmonic q-sums

2024/06/12 by Tsuruta, Yuto
#Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2406.07930

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.

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