NEW CONGRUENCES WITH THE GENERALIZED CATALAN NUMBERS AND HARMONIC NUMBERS

Elkhiri L., KOPARAL S., ÖMÜR N.

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, cilt.58, sa.5, ss.1079-1095, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 58 Sayı: 5
  • Basım Tarihi: 2021
  • Doi Numarası: 10.4134/bkms.b200359
  • Dergi Adı: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.1079-1095
  • Anahtar Kelimeler: Congruences, harmonic numbers and binomial coefficients, BERNOULLI NUMBERS, IDENTITIES
  • Kocaeli Üniversitesi Adresli: Evet

Özet

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,