Comptes Rendus
no. 2
Théorie « élémentaire » des nombres
On a congruence involving q-Catalan numbers
[Sur une congruence impliquant des q-nombres de Catalan]
Ji-Cai Liu1
1 Department of Mathematics, Wenzhou University, Wenzhou 325035, PR China
Comptes Rendus. Mathématique, Volume 358 (2020) no. 2, pp. 211-215.

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 :
Révisé le :
Accepté le :
Publié le :
DOI : 10.5802/crmath.35
Classification : 11B65, 11A07, 05A10
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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     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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