arXiv:1406.4022 [math.CO]AbstractReferencesReviewsResources
Some $q$-congruences for homogeneous and quasi-homogeneous multiple $q$-harmonic sums
Khodabakhsh Hessami Pilehrood, Tatiana Hessami Pilehrood, Roberto Tauraso
Published 2014-06-16, updated 2015-06-26Version 3
We show some new Wolstenholme type $q$-congruences for some classes of multiple $q$-harmonic sums of arbitrary depth with strings of indices composed of ones, twos and threes. Most of these results are $q$-extensions of the corresponding congruences for ordinary multiple harmonic sums obtained by the authors in a previous paper. Finally, we pose a conjecture concerning two kinds of cyclic sums of multiple $q$-harmonic sums.
Comments: This article is based on the previous version, but the results have been reworked and extended substantially
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