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arXiv:2106.13613 [math.CO]AbstractReferencesReviewsResources

On the divisibility of $q$-trinomial coefficients

Ji-Cai Liu

Published 2021-06-25Version 1

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

Comments: 8 pages
Categories: math.CO, math.NT
Subjects: 05A10, 11A07, 11B65, 13A05
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