Congruences with q-harmonic numbers and q-binomial coefficients

Elkhiri, Laid; Koparal, Sibel; ÖMÜR, NEŞE

doi:10.1007/s13226-023-00401-6

Congruences with q-harmonic numbers and q-binomial coefficients

Atıf İçin Kopyala

Elkhiri L., Koparal S., ÖMÜR N.

Indian Journal of Pure and Applied Mathematics, 2023 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Basım Tarihi: 2023
Doi Numarası: 10.1007/s13226-023-00401-6
Dergi Adı: Indian Journal of Pure and Applied Mathematics
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
Anahtar Kelimeler: Congruence, q-Analog, q-Harmonic number
Kocaeli Üniversitesi Adresli: Evet

Özet

In this paper, we show the congruences ∑k=mp-1qk[km]qH~k,2(q)(mod[p]q2) and ∑k=mp-1qk[km]qH~k2(q)(mod[p]q2) with a prime number p> 2 and m= 0 , 1 , 2 ,. , p- 1.