Congruences involving generalized Catalan numbers and Bernoulli numbers

In this paper, we establish some congruences mod $ p^3 $ involving the sums $ \sum_{k = 1}^{p-1}k^mB_{p, k}^{2l} $, where $ p > 3 $ is a prime number and $ B_{p, k} $ are generalized Catalan numbers. We also establish some congruences mod $ p^2 $ involving the sums $ \sum_{k = 1}^{p-1}k^mB_{p...

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Bibliographic Details
Main Authors: Jizhen Yang, Yunpeng Wang
Format: Article
Language:English
Published: AIMS Press 2023-08-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231240?viewType=HTML