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Applications of a formula of Maesaka-Seki-Watanabe type f...
[Submitted on 1 Jun 2026] · 2026-06-02 · via math updates on arXiv.org

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Abstract: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.

Submission history

From: Yuto Tsuruta [view email]
[v1] Mon, 1 Jun 2026 11:53:00 UTC (8 KB)