A generalization of the duality for multiple harmonic sums

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.

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

References in corpus (1)

• Newton series and extended derivation relations for multiple $L$-values