On congruences related to trinomial coefficients and harmonic numbers

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ÖMÜR N., KOPARAL S., Elkhiri L.

TURKISH JOURNAL OF MATHEMATICS, vol.45, no.4, pp.1592-1604, 2021 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 45 Issue: 4
  • Publication Date: 2021
  • Doi Number: 10.3906/mat-2101-128
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1592-1604
  • Keywords: Congruences, binomial coefficients, trinomial coefficients, harmonic numbers
  • Bursa Uludag University Affiliated: No

Abstract

In this paper, we establish some congruences involving the trinomial coefficients and harmonic numbers. For example, for any prime p > 3,