On q-Analog of Wolstenholme Type Congruences for Multiple Harmonic Sums
Number Theory
2015-01-30 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1303.3060,
title = {On q-Analog of Wolstenholme Type Congruences for Multiple Harmonic Sums},
author = {Jianqiang Zhao},
journal= {arXiv preprint arXiv:1303.3060},
year = {2015}
}
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11 pages