On a congruence involving $q$-Catalan numbers

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.

Bibliographic Details
Main Author: Liu, Ji-Cai
Format: Article
Language:English
Published: Académie des sciences 2020-06-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.35/