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Some new results about $q$-trinomial coefficients

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arxiv 2202.09781 v2 pith:CL4OKPRL submitted 2022-02-20 math.NT math.CO

classification math.NTmath.CO
keywords coefficientstrinomialandrewsbaxterbinomialcentralcongruencecongruences
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abstract

In this paper, we present several new congruences on the $q$-trinomial coefficients introduced by Andrews and Baxter. A new congruence on sums of central $q$-binomial coefficients is also established.

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