Some congruences with q−binomial sums

ÖMÜR N., GÜR Z. B., KOPARAL S., ELKHİRİ L.

Turkish Journal of Mathematics, vol.47, no.7, pp.2006-2027, 2023 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 47 Issue: 7
  • Publication Date: 2023
  • Doi Number: 10.55730/1300-0098.3478
  • 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.2006-2027
  • Keywords: Congruence, q−analog, q−harmonic number
  • Bursa Uludag University Affiliated: Yes

Abstract

In this paper, using some combinatorial identities and congruences involving q−harmonic numbers, we establish congruences that for any odd prime p and any positive integer α, (Formula presented.) and (Formula presented.) where n is any integer.