Some new results about 𝑞-trinomial coefficients

Chen, Yifan; Xu, Chang; Wang, Xiaoxia

doi:10.1090/proc/16375

Some new results about $q$-trinomial coefficients
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by Yifan Chen, Chang Xu and Xiaoxia Wang;

Proc. Amer. Math. Soc. 151 (2023), 3827-3837

DOI: https://doi.org/10.1090/proc/16375

Published electronically: June 16, 2023

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Abstract:

In this paper, we present several new congruences on the $q$-trinomial coefficients introduced by Andrews and Baxter [J. Statist. Phys. 47 (1987), 297–330]. A new congruence on sums of central $q$-binomial coefficients is also established.

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