On the divisibility of q-trinomial coefficients

2021/06/25 by Liu, Ji-Cai
#05A10 #11A07 #11B65 #13A05 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2106.13613

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.

Related

• Some new results about q-trinomial coefficients
• Further results on the divisibility of q-trinomial coefficients
• Some Lucas-type congruences for q-trinomial coefficients
• Some congruences for trinomial coefficients
• Factors of certain sums involving central q-binomial coefficients