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arxiv: 0802.1228 · v3 · submitted 2008-02-11 · 🧮 math.NT

A generalization of the duality for multiple harmonic sums

classification 🧮 math.NT
keywords dualitydifferencesharmonicmultipleprovesumsappearcertain
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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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