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

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KOPARAL S., ÖMÜR N.

TURKISH JOURNAL OF MATHEMATICS, vol.40, no.5, pp.973-985, 2016 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 40 Issue: 5
  • Publication Date: 2016
  • Doi Number: 10.3906/mat-1504-16
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.973-985
  • Keywords: Central binomial coefficients, harmonic numbers, Catalan numbers, Fibonacci numbers, Pell numbers, P-ADIC CONGRUENCES, BERNOULLI
  • Bursa Uludag University Affiliated: No

Abstract

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