A generalization of the duality for multiple harmonic sums

Details A generalization of the duality for multiple harmonic sums A generalization of the duality for multiple harmonic sums

2008-02-11

arxiv.org/abs/0802.1228v3

Mathematics

Number Theory

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

Scientific paper

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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