A generalization of the duality for multiple harmonic sums
Number Theory
2009-05-12 v3
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.
Keywords
Cite
@article{arxiv.0802.1228,
title = {A generalization of the duality for multiple harmonic sums},
author = {Gaku Kawashima},
journal= {arXiv preprint arXiv:0802.1228},
year = {2009}
}
Comments
12 pages; minor corrections; to appear in Journal of Number Theory