On congruences related to central binomial coefficients, harmonic and Lucas numbers

KOPARAL S., ÖMÜR N.

TURKISH JOURNAL OF MATHEMATICS, cilt.40, sa.5, ss.973-985, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 5
  • Basım Tarihi: 2016
  • Doi Numarası: 10.3906/mat-1504-16
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.973-985
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this paper, using some combinatorial identities, we present new congruences involving central binomial coefficients and harmonic, Catalan, and Fibonacci numbers. For example, for an odd prime p, we have