Multiple harmonic sums are iterated generalizations of harmonic sums. Recently Dilcher has considered congruences involving q-analogs of these sums in depth one. In this paper we shall study the homogeneous case for arbitrary depth by using generating functions and shuffle relations of the q-analog of multiple harmonic sums. At the end, we also consider some non-homogeneous cases.
"On q-Analogs of Wostenholme Type Congruences for Multiple Harmonic Sums."
Integers, 13: 358-368.
doi: 10.1515/9783110298161.358 source: http://arxiv.org/abs/1303.3060