Some congruences with q-binomial coefficients and q-harmonic numbers

KOPARAL S., ÖMÜR N., Elkhiri L.

Hacettepe Journal of Mathematics and Statistics, cilt.52, sa.2, ss.445-458, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 52 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.15672/hujms.1076409
  • Dergi Adı: Hacettepe Journal of Mathematics and Statistics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.445-458
  • Anahtar Kelimeler: Abel sum, congruences, q-binomial coefficients, q-harmonic numbers
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this paper, considering q-analogues and q-combinatorial identities, we gave some congruences including q-binomial coefficients and q-harmonic numbers. For example, for any prime number p and α ∈ Z+, ∑k=1 p-1(-1)k q- α pk+(k+1/2)+k [k]q[Formula Presented]