arXiv:0802.1228 Abstract | arXiv Analytics

arXiv:0802.1228 [math.NT]Abstract References Reviews Resources

A generalization of the duality for multiple harmonic sums

Published 2008-02-11, updated 2009-05-12Version 3

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.

Comments: 12 pages; minor corrections; to appear in Journal of Number Theory

Categories: math.NT

Keywords: generalization, finite multiple harmonic sums, differences, duality result, fundamental property

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