arXiv Analytics

Sign in

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
Categories: math.CO
Subjects: 11B65, 30E05, 11A07
Related articles: Most relevant | Search more
arXiv:1311.6291 [math.CO] (Published 2013-11-25, updated 2015-11-12)
A generalization of weight polynomials to matroids
arXiv:1310.0851 [math.CO] (Published 2013-10-02, updated 2014-04-04)
A generalization of Aztec diamond theorem, part I
arXiv:math/0604280 [math.CO] (Published 2006-04-12, updated 2006-10-05)
Generalization of an Identity of Andrews