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On the divisibility of $q$-trinomial coefficients

Published 25 Jun 2021 in math.CO and math.NT | (2106.13613v2)

Abstract: 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.

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