On the divisibility of q-trinomial coefficients

Author:

Liu Ji-CaiORCID

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory

Reference28 articles.

1. Andrews, G.E.: Euler’s “exemplum memorabile inductionis fallacis’’ and $$q$$-trinomial coefficients. J. Am. Math. Soc. 3, 653–669 (1990)

2. Andrews, G.E.: $$q$$-Analogs of the binomial coefficient congruences of Babbage, Wolstenholme and Glaisher. Discret. Math. 204, 15–25 (1999)

3. Andrews, G.E., Baxter, R.J.: Lattice gas generalization of the hard hexagon model III: $$q$$-trinomial coefficients. J. Stat. Phys. 47, 297–330 (1987)

4. Apagodu, M., Liu, J.-C.: Congruence properties for the trinomial coefficients. Integers 20, 38 (2020)

5. Babbage, C.: Demonstration of a theorem relating to prime numbers. Edinburgh Philos. J. 1, 46–49 (1819)

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