NEW CONGRUENCES WITH THE GENERALIZED CATALAN NUMBERS AND HARMONIC NUMBERS
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, vol.58, no.5, pp.1079-1095, 2021 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 58 Issue: 5
- Publication Date: 2021
- Doi Number: 10.4134/bkms.b200359
- Journal Name: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
- Page Numbers: pp.1079-1095
- Keywords: Congruences, harmonic numbers and binomial coefficients, BERNOULLI NUMBERS, IDENTITIES
- Bursa Uludag University Affiliated: No
Abstract
In this paper, we give new congruences with the generalized Catalan numbers and harmonic numbers modulo p(2). One of our results is as follows: for prime number p > 3,