A generalization of the duality for multiple harmonic sums

Gaku Kawashima

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arXiv · 0802.1228

A generalization of the duality for multiple harmonic sums

Gaku Kawashima

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Abstract

The duality is a fundamental property of the finite multiple harmonic sums (MHS). In this paper, we prove a duality result for certain generalizations of MHS which appear naturally as the differences of MHS. We also prove a formula for the differences of these generalized MHS.

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Gaku Kawashima. 2009-05-12. A generalization of the duality for multiple harmonic sums. https://arxiv.org/abs/0802.1228

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