Some new results about $q$-trinomial coefficients
Yifan Chen, Chang Xu, Xiaoxia Wang
TL;DR
This paper introduces new congruences related to $q$-trinomial coefficients and sums of central $q$-binomial coefficients, advancing understanding in combinatorial q-series.
Contribution
It presents novel congruences for $q$-trinomial coefficients and sums of central $q$-binomial coefficients, expanding the theoretical framework.
Findings
New congruences on $q$-trinomial coefficients
A new congruence on sums of central $q$-binomial coefficients
Enhanced understanding of q-series properties
Abstract
In this paper, we present several new congruences on the -trinomial coefficients introduced by Andrews and Baxter. A new congruence on sums of central -binomial coefficients is also established.
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Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Algebra and Geometry · Advanced Combinatorial Mathematics