On a congruence involving $q$-Catalan numbers

By Ji-Cai Liu. 2019

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Based on a $q$-congruence of the author and Petrov, we set up a $q$-analogue of Sun--Tauraso's congruence for sums of Catalan numbers, which extends a $q$-congruence due to Tauraso.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics

View Paper: https://www.semanticscholar.org/paper/56a321a324f82a7aad587906b2ee3e029800574b