Some q-congruences for homogeneous and quasi-homogeneous multiple q-harmonic sums View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2017-05

AUTHORS

Kh. Hessami Pilehrood, T. Hessami Pilehrood, R. Tauraso

ABSTRACT

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. We also establish duality congruences for multiple q-harmonic non-strict sums and a kind of duality for multiple q-harmonic strict sums. Finally, we pose a conjecture concerning two kinds of cyclic sums of multiple q-harmonic sums. More... »

PAGES

113-139

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URI

http://scigraph.springernature.com/pub.10.1007/s11139-016-9879-9

DOI

http://dx.doi.org/10.1007/s11139-016-9879-9

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