Some congruences with q−binomial sums

ÖMÜR, NEŞE; GÜR, Zehra; KOPARAL, SİBEL; ELKHİRİ, Laid

doi:10.55730/1300-0098.3478

Some congruences with q−binomial sums

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

Turkish Journal of Mathematics, cilt.47, sa.7, ss.2006-2027, 2023 (SCI-Expanded, Scopus, TRDizin)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 47 Sayı: 7
Basım Tarihi: 2023
Doi Numarası: 10.55730/1300-0098.3478
Dergi Adı: Turkish Journal of Mathematics
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
Sayfa Sayıları: ss.2006-2027
Anahtar Kelimeler: Congruence, q−analog, q−harmonic number
Bursa Uludağ Üniversitesi Adresli: Evet

Özet

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.