The authors apply a q-analogue formula to prove duality of q-multiple zeta values and an identity for the q-Kawashima function.
Multiple series expressions for the Newton series which interpolate finite multiple harmonic sums
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abstract
The Newton series which interpolate finite multiple harmonic sums are useful in the study of multiple zeta values (MZV's). In this paper, we prove that these Newton series can be written as multiple series. As an application, we give a formula for MZV's which contains the duality.
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2026 1verdicts
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Applications of a formula of Maesaka-Seki-Watanabe type for multiple harmonic $q$-sums
The authors apply a q-analogue formula to prove duality of q-multiple zeta values and an identity for the q-Kawashima function.