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

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KOPARAL S., ÖMÜR N.

TURKISH JOURNAL OF MATHEMATICS, cilt.40, sa.5, ss.973-985, 2016 (SCI-Expanded) 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
  • Anahtar Kelimeler: Central binomial coefficients, harmonic numbers, Catalan numbers, Fibonacci numbers, Pell numbers, P-ADIC CONGRUENCES, BERNOULLI
  • Bursa Uludağ Üniversitesi Adresli: Hayır

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