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On the divisibility of $q$-trinomial coefficients

Combinatorics 2021-09-17 v2 Number Theory

Abstract

We establish a congruence on sums of central qq-binomial coefficients. From this qq-congruence, we derive the divisibility of the qq-trinomial coefficients introduced by Andrews and Baxter.

Keywords

Cite

@article{arxiv.2106.13613,
  title  = {On the divisibility of $q$-trinomial coefficients},
  author = {Ji-Cai Liu},
  journal= {arXiv preprint arXiv:2106.13613},
  year   = {2021}
}

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8 pages