On congruences involving harmonic numbers H3n and H3n+r
Indian Journal of Pure and Applied Mathematics, cilt.57, sa.3, ss.1091-1102, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 57 Sayı: 3
- Basım Tarihi: 2026
- Doi Numarası: 10.1007/s13226-025-00848-9
- Dergi Adı: Indian Journal of Pure and Applied Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
- Sayfa Sayıları: ss.1091-1102
- Anahtar Kelimeler: Abel sum, Congruences, Harmonic numbers
- Bursa Uludağ Üniversitesi Adresli: Evet
Özet
In this paper, we establish various congruences involving harmonic numbers H3n and H3n+r modulo prime number p, ie., ∑0≤k≤[p/3]H3k2(modp) and ∑0≤k≤[p/3]H3k+r3k+r(modp). Also, we give the generalization of Meštrović’s congruence, ie., for any prime number p≥5, (Formula presented.) where r∈{1,2,3}.