Ji-Cai Liu
Abstract
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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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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.
Key concepts: Trinomial, Divisibility rule, Mathematics, Congruence (geometry), Binomial coefficient, Multinomial distribution, Infinite divisibility, Pure mathematics