On a congruence involving $q$-Catalan numbers

Ji-Cai Liu

doi:10.5802/crmath.35

Théorie « élémentaire » des nombres

On a congruence involving

q

-Catalan numbers
[Sur une congruence impliquant des q-nombres de Catalan]

Ji-Cai Liu ¹

¹ Department of Mathematics, Wenzhou University, Wenzhou 325035, PR China

Comptes Rendus. Mathématique, Volume 358 (2020) no. 2, pp. 211-215.

Résumé
Abstract

À partir d’une $q$ -congruence de l’auteur et Petrov, nous établissons un $q$ -analogue de la congruence de Sun–Tauraso pour des sommes de nombres de Catalan, qui étend la $q$ -congruence due à Tauraso.

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.

Reçu le : 2020-01-07
Révisé le : 2020-03-10
Accepté le : 2020-03-10
Publié le : 2020-06-15

DOI : 10.5802/crmath.35

Classification : 11B65, 11A07, 05A10

Affiliations des auteurs :

Ji-Cai Liu ¹

¹ Department of Mathematics, Wenzhou University, Wenzhou 325035, PR China

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

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     author = {Ji-Cai Liu},
     title = {On a congruence involving $q${-Catalan} numbers},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {211--215},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {358},
     number = {2},
     year = {2020},
     doi = {10.5802/crmath.35},
     language = {en},
}

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Ji-Cai Liu. On a congruence involving $q$-Catalan numbers. Comptes Rendus. Mathématique, Volume 358 (2020) no. 2, pp. 211-215. doi : 10.5802/crmath.35. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.35/

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